Solution - Long division

Step-by-step explanation

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Terms and topics

1. Write the divisor, which is 4, and then write the dividend, which is 29,904, in order to populate the table.

2. Divide the dividend digits by the divisor one at a time, starting from the left.

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7, 476

7,476

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TABLE_COL_WHOLE_DIGIT2_PLACE1	TERM_TABLE_COL_DIVISION_ACTION	ten thousands	thousands	hundreds	tens	ones
/
4		2	9	9	0	4

To divide 2 by divisor 4, we ask: 'How many times can we fit 4 into 2?
2/4=0
Write the quotient 0, above the digit we divided.

We multiply the quotient by the divisor to get the product.
4*0=0
Write 0 below the digits we just divided (2), so we can subtract to get the remainder.

Subtract to get the remainder
2-0=2
Write the remainder 2

Since we have a remainder from the previous division, we bring down the next digit, which is (9), and add it to the remainder (2).

To divide 29 by divisor 4, we ask: 'How many times can we fit 4 into 29?
29/4=7
Write the quotient 7, above the digit we divided.

We multiply the quotient by the divisor to get the product.
4*7=28
Write 28 below the digits we just divided (29), so we can subtract to get the remainder.

Subtract to get the remainder
29-28=1
Write the remainder 1

TABLE_COL_WHOLE_DIGIT2_PLACE1	TERM_TABLE_COL_DIVISION_ACTION	ten thousands	thousands	hundreds	tens	ones
		0	7
4		2	9	9	0	4
-		0
		2	9
	-	2	8
			1

Since we have a remainder from the previous division, we bring down the next digit, which is (9), and add it to the remainder (1).

TABLE_COL_WHOLE_DIGIT2_PLACE1	TERM_TABLE_COL_DIVISION_ACTION	ten thousands	thousands	hundreds	tens	ones
		0	7
4		2	9	9	0	4
-		0
		2	9
	-	2	8
			1	9

To divide 19 by divisor 4, we ask: 'How many times can we fit 4 into 19?
19/4=4
Write the quotient 4, above the digit we divided.

TABLE_COL_WHOLE_DIGIT2_PLACE1	TERM_TABLE_COL_DIVISION_ACTION	ten thousands	thousands	hundreds	tens	ones
		0	7	4
4		2	9	9	0	4
-		0
		2	9
	-	2	8
			1	9

We multiply the quotient by the divisor to get the product.
4*4=16
Write 16 below the digits we just divided (19), so we can subtract to get the remainder.

TABLE_COL_WHOLE_DIGIT2_PLACE1	TERM_TABLE_COL_DIVISION_ACTION	ten thousands	thousands	hundreds	tens	ones
×		0	7	4
4		2	9	9	0	4
-		0
		2	9
	-	2	8
			1	9
			1	6

Subtract to get the remainder
19-16=3
Write the remainder 3

TABLE_COL_WHOLE_DIGIT2_PLACE1	TERM_TABLE_COL_DIVISION_ACTION	ten thousands	thousands	hundreds	tens	ones
		0	7	4
4		2	9	9	0	4
-		0
		2	9
	-	2	8
			1	9
		-	1	6
				3

Since we have a remainder from the previous division, we bring down the next digit, which is (0), and add it to the remainder (3).

TABLE_COL_WHOLE_DIGIT2_PLACE1	TERM_TABLE_COL_DIVISION_ACTION	ten thousands	thousands	hundreds	tens	ones
		0	7	4
4		2	9	9	0	4
-		0
		2	9
	-	2	8
			1	9
		-	1	6
				3	0

To divide 30 by divisor 4, we ask: 'How many times can we fit 4 into 30?
30/4=7
Write the quotient 7, above the digit we divided.

TABLE_COL_WHOLE_DIGIT2_PLACE1	TERM_TABLE_COL_DIVISION_ACTION	ten thousands	thousands	hundreds	tens	ones
		0	7	4	7
4		2	9	9	0	4
-		0
		2	9
	-	2	8
			1	9
		-	1	6
				3	0

We multiply the quotient by the divisor to get the product.
4*7=28
Write 28 below the digits we just divided (30), so we can subtract to get the remainder.

TABLE_COL_WHOLE_DIGIT2_PLACE1	TERM_TABLE_COL_DIVISION_ACTION	ten thousands	thousands	hundreds	tens	ones
×		0	7	4	7
4		2	9	9	0	4
-		0
		2	9
	-	2	8
			1	9
		-	1	6
				3	0
				2	8

Subtract to get the remainder
30-28=2
Write the remainder 2

TABLE_COL_WHOLE_DIGIT2_PLACE1	TERM_TABLE_COL_DIVISION_ACTION	ten thousands	thousands	hundreds	tens	ones
		0	7	4	7
4		2	9	9	0	4
-		0
		2	9
	-	2	8
			1	9
		-	1	6
				3	0
			-	2	8
					2

Since we have a remainder from the previous division, we bring down the next digit, which is (4), and add it to the remainder (2).

TABLE_COL_WHOLE_DIGIT2_PLACE1	TERM_TABLE_COL_DIVISION_ACTION	ten thousands	thousands	hundreds	tens	ones
		0	7	4	7
4		2	9	9	0	4
-		0
		2	9
	-	2	8
			1	9
		-	1	6
				3	0
			-	2	8
					2	4

To divide 24 by divisor 4, we ask: 'How many times can we fit 4 into 24?
24/4=6
Write the quotient 6, above the digit we divided.

TABLE_COL_WHOLE_DIGIT2_PLACE1	TERM_TABLE_COL_DIVISION_ACTION	ten thousands	thousands	hundreds	tens	ones
		0	7	4	7	6
4		2	9	9	0	4
-		0
		2	9
	-	2	8
			1	9
		-	1	6
				3	0
			-	2	8
					2	4

We multiply the quotient by the divisor to get the product.
4*6=24
Write 24 below the digits we just divided (24), so we can subtract to get the remainder.

TABLE_COL_WHOLE_DIGIT2_PLACE1	TERM_TABLE_COL_DIVISION_ACTION	ten thousands	thousands	hundreds	tens	ones
×		0	7	4	7	6
4		2	9	9	0	4
-		0
		2	9
	-	2	8
			1	9
		-	1	6
				3	0
			-	2	8
					2	4
					2	4

Subtract to get the remainder
24-24=0
Write the remainder 0

TABLE_COL_WHOLE_DIGIT2_PLACE1	TERM_TABLE_COL_DIVISION_ACTION	ten thousands	thousands	hundreds	tens	ones
		0	7	4	7	6
4		2	9	9	0	4
-		0
		2	9
	-	2	8
			1	9
		-	1	6
				3	0
			-	2	8
					2	4
				-	2	4
						0

The final result is: 7,476

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Hey students! Have you ever wondered why you need to learn long division? Well, let me tell you - long division is like a superhero power that can help you solve a lot of cool problems!

Here are 4 examples of how long division can be used in fun ways:

Pizza party time! Let's say you and your friends ordered 20 slices of pizza. How many slices of pizza will each person get? To figure it out, you can use long division to divide the total number of slices by the number of people at the party.

It's candy time! You have 60 pieces of candy and you want to share it equally with your three best friends. How many pieces of candy will each of you get? Long division to the rescue!

Are we there yet? If you're going on a long car trip and you want to know how long it will take to get there, you can use long division to figure out your average speed and the total distance.

Budgeting for groceries: Let's say you have a budget of $200 for groceries this month, and you want to know how much you can spend per week. You can use long division to divide your total budget by the number of weeks in the month.

These are just a few examples of how long division can be used in real life. By learning this important mathematical tool, you'll be equipped to tackle a wide range of problems in school, work, and everyday life.

TABLE_COL_WHOLE_DIGIT2_PLACE1

TERM_TABLE_COL_DIVISION_ACTION

ten thousands

Long division