Dividing 3-Digit Without Remainder

Dividing without Remainder: Learn

How to divide a three digit number by a one digit number (for example, 413 ÷ 7).

Place the divisor (7) before the division bracket and place the dividend (413) under it:


7		4	1	3

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	3

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

		5
7	4	1	3
	3	5

Draw a line under the 35 and subtract it from 41 (41-35=6). Bring down the 3 from the 413 and place it to the right of the 6.

			5
7		4	1	3
	-	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 0. This indicates that there is nothing left over and 7 can be evenly divided into 413 to produce a quotient of 59.

			5	9
7		4	1	3
	-	3	5
			6	3
		-	6	3
				0

Dividing Without Remainder: Practice

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