Short Division

Short Division

Basic, GCSE(F),

Division splits one number into a number of smaller, equal parts.  The number carrying out the dividing is called the divisor. Short Division is the division of one number by a single digit.

Place the number to be divided under a bus stop, with the divisor to the left of the vertical line. the answer will be written above the horizontal line.

Division takes place one digit at a time, working from left to right. The number of complete times that the divisor divides into each digit is written above the digit, and the remainder carried forward (as a multiple of 10) to the next number.

At the end of a division, there may be a remainder:

• the remainder may be shown as an integer;
• the remainder may be shown as a fraction (remainder/divisor);
• add places (zeroes) after the decimal point for a decimal answer.


1. A company is sending holiday brochures to its six travel shops.  If 1350 brochures are equally distributed to each shop, how many brochures will each shop receive?

Answer: 225

This is a division: divide 1350 by 6.

divide 1350 by 6

6 into 1: 0, remainder 1 (changes the next number from 3 to 13);
6 into 13: 2 (place above the 3), remainder 1 (the next number becomes 15);
6 into 15: 2 (place above the 5), remainder 3 (the next number becomes 30);
6 into 30: 5 (place above the 0), no remainder.

2. Divide 243 by 7. Show the result of the division a) as a remainder; b) as a fraction, and c) as a decimal to 1 decimal place.

Answer: a) 34 remainder 5; b) 34`frac(5)(7)` ; c) 34.7

Show the calculation with a remainder:

a) As a remainder: 243 ÷ 7

divide 243 by 7 with a remainder

b) As a fraction, show the remainder over the divisor (`frac(5)(7)`) to give an answer of 34`frac(5)(7)`.

c) Add a decimal point and create decimal places using zeroes. The number of decimal places must be one more than the accuracy required. Check also for rounding. Divide 243.00 by 7.

divide 243 by giving decimal answer