Dividing 3-Digit Numbers

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Dividing: Learn

How to divide a three digit number by a one digit number (for example, 416 ÷ 7).

Place the divisor (7) before the division bracket and place the dividend (416) under it:


7		4	1	6

Examine the first digit of the dividend(4). It is smaller than 7 so it can't be divided by 7 to produce a whole number. Next take the first two digits of the dividend (41) and determine how many 7's it contains. In this case 41 holds five sevens (5*7=35) but not six (6*7=42). Place the 5 above the division bracket.

			5
7		4	1	6

Multiply the 5 by 7 and place the result (35) below the 41 of the dividend.

		5
7	4	1	6
	3	5

Draw a line under the 35 and subtract it from 41 (41-35=6). Bring down the 6 from the 416 and place it to the right of the 6.

			5
7		4	1	6
	-	3	5
			6	3

Multiply the 9 of the quotient by the divisor (7) to get 63 and place this below the 63 under the dividend. Subtract 63 from 63 to give an answer of 3. The number 3 is called the remainder and indicates that there were three left over.

			5	9	R	3
7		4	1	6
	-	3	5
			6	6
		-	6	6
				3

Dividing Without Remainder: Practice

What is the quotient?

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