Dividing a three digit number by a one digit number (for example 416 ÷ 7) involves several steps.
- Place the divisor before the division bracket and place the dividend (416) under it.
7)416- Examine the first digit of the dividend(4). It is smaller than 7 so 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)416- Multiply the 5 by 7 and place the result (35) below the 41 of the dividend.
5
7)416
35- 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 other 6.
5
7)416
35
66- Divide 66 by 7 and place that answer above the division bracket to the right of the five.
59
7)416
35
66- Multiply the 9 of the quotient by the divisor (7) to get 63 and place this below the 66. Subtract 63 from 66 to give an answer of 3. The number 3 is called the remainder and indicates that there were three left over.
59 R 3
7)416
35
66
63
3
Practice at here
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- How to do long division with remainders?
- How do you do long division with decimals?
- Understanding long division as repeated subtraction
- Teaching Long Division
- Double Division with 3 Digit Divisors
- How to do long division with two digit quotients?
- Long Division of Polynomials Step by Step
- How to do long division with 2 digit divisor?
- How to do long division with two digit quotients?
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