For example: In 847/5, 5 is the divisor, so write it outside the division bar. 847 is the dividend, so place it inside the division bar. The quotient is blank because you haven’t started dividing yet.
If you were using long division, you would write out 8 minus 5 equals 3 and then bring down the 4 from the dividend. Short division simplifies this written process.
In our example, the next number is 34.
Now, divide 34 by 5. 5 goes into 34 six times (5 x 6 =30) with a remainder of 4. Write your quotient, 6, on the division bar to the right of the 1. Again, keep in mind you are doing most of the math mentally.
Now, divide 47 by 5. 5 goes into 47 nine times (5 x 9 = 45) with a remainder of 2. Write your quotient, 9, on the division bar to the right of the 6.
For example, 567/7. In this case, 7 doesn’t go into 5, but it does go into 56 eight times. When solving this problem, write the first number of the quotient over the 6 instead of the 5 and continue solving. The final answer is 81.
For example, 3208/8, 8 goes into 32 four times, but does not go into 0. You would add a 0 and then divide into the next number. 8 goes into 8 one time, therefore, the solution would be 401.
Divide 748 by 2. How many times can 2 go into 7? Three with a remainder of 1. Write 1 next to the 4. How many times can 2 go into 14? Seven times, evenly. Two goes into 8 four times, evenly; therefore, the final answer is 374. Divide 368 by 8. Eight doesn’t fit into 3, but it does divide into 36. Eight fits into 36 four times with a remainder of 4 (8 x 4 = 32, 36 - 32 = 4). Write the 4 next to the 9. Eight can go into 48 six times, evenly; therefore, the final answer is 46. Divide 1228 by 4. Four doesn’t fit into 1, but it does fit into 12 three times, evenly. Four does not fit into 2, so you must add a zero in the quotient and divide four into 28. Four fits into 28 seven times; therefore, the final answer is 307.
