Question
What is the quotient and remainder when $ 1700 $ is divided by $ 29 $ ?
Answer
The quotient is 58 and the remainder is 18.
Explanation
| Division Table | |||||
| 0 | 0 | 5 | 8 | ||
| 2 | 9 | 1 | 7 | 0 | 0 |
| – | 0 | ||||
| 1 | 7 | ||||
| – | 0 | ||||
| 1 | 7 | 0 | |||
| – | 1 | 4 | 5 | ||
| 2 | 5 | 0 | |||
| – | 2 | 3 | 2 | ||
| 1 | 8 | ||||
|
STEP 0: set up a division table |
|||||
| 2 | 9 | 1 | 7 | 0 | 0 |
|
STEP 1: DIVIDE 1 : 29 = 0 with a remainder of 1 |
|||||
| 0 | |||||
| 2 | 9 | 1 | 7 | 0 | 0 |
|
STEP 2: MULTIPLY 0 · 29 = 0 |
|||||
| 0 | |||||
| 2 | 9 | 1 | 7 | 0 | 0 |
| 0 | |||||
|
STEP 3: SUBTRACT 1 - 0 = 1 |
|||||
| 0 | |||||
| 2 | 9 | 1 | 7 | 0 | 0 |
| – | 0 | ||||
| 1 | |||||
| STEP 4: BRING DOWN | |||||
| 0 | |||||
| 2 | 9 | 1 | 7 | 0 | 0 |
| – | 0 | ||||
| 1 | 7 | ||||
|
STEP 5: DIVIDE 17 : 29 = 0 with a remainder of 17 |
|||||
| 0 | 0 | ||||
| 2 | 9 | 1 | 7 | 0 | 0 |
| – | 0 | ||||
| 1 | 7 | ||||
|
STEP 6: MULTIPLY 0 · 29 = 0 |
|||||
| 0 | 0 | ||||
| 2 | 9 | 1 | 7 | 0 | 0 |
| – | 0 | ||||
| 1 | 7 | ||||
| 0 | |||||
|
STEP 7: SUBTRACT 17 - 0 = 17 |
|||||
| 0 | 0 | ||||
| 2 | 9 | 1 | 7 | 0 | 0 |
| – | 0 | ||||
| 1 | 7 | ||||
| – | 0 | ||||
| 1 | 7 | ||||
| STEP 8: BRING DOWN | |||||
| 0 | 0 | ||||
| 2 | 9 | 1 | 7 | 0 | 0 |
| – | 0 | ||||
| 1 | 7 | ||||
| – | 0 | ||||
| 1 | 7 | 0 | |||
|
STEP 9: DIVIDE 170 : 29 = 5 with a remainder of 25 |
|||||
| 0 | 0 | 5 | |||
| 2 | 9 | 1 | 7 | 0 | 0 |
| – | 0 | ||||
| 1 | 7 | ||||
| – | 0 | ||||
| 1 | 7 | 0 | |||
|
STEP 10: MULTIPLY 5 · 29 = 145 |
|||||
| 0 | 0 | 5 | |||
| 2 | 9 | 1 | 7 | 0 | 0 |
| – | 0 | ||||
| 1 | 7 | ||||
| – | 0 | ||||
| 1 | 7 | 0 | |||
| 1 | 4 | 5 | |||
|
STEP 11: SUBTRACT 170 - 145 = 25 |
|||||
| 0 | 0 | 5 | |||
| 2 | 9 | 1 | 7 | 0 | 0 |
| – | 0 | ||||
| 1 | 7 | ||||
| – | 0 | ||||
| 1 | 7 | 0 | |||
| – | 1 | 4 | 5 | ||
| 2 | 5 | ||||
| STEP 12: BRING DOWN | |||||
| 0 | 0 | 5 | |||
| 2 | 9 | 1 | 7 | 0 | 0 |
| – | 0 | ||||
| 1 | 7 | ||||
| – | 0 | ||||
| 1 | 7 | 0 | |||
| – | 1 | 4 | 5 | ||
| 2 | 5 | 0 | |||
|
STEP 13: DIVIDE 250 : 29 = 8 with a remainder of 18 |
|||||
| 0 | 0 | 5 | 8 | ||
| 2 | 9 | 1 | 7 | 0 | 0 |
| – | 0 | ||||
| 1 | 7 | ||||
| – | 0 | ||||
| 1 | 7 | 0 | |||
| – | 1 | 4 | 5 | ||
| 2 | 5 | 0 | |||
|
STEP 14: MULTIPLY 8 · 29 = 232 |
|||||
| 0 | 0 | 5 | 8 | ||
| 2 | 9 | 1 | 7 | 0 | 0 |
| – | 0 | ||||
| 1 | 7 | ||||
| – | 0 | ||||
| 1 | 7 | 0 | |||
| – | 1 | 4 | 5 | ||
| 2 | 5 | 0 | |||
| 2 | 3 | 2 | |||
|
STEP 15: SUBTRACT 250 - 232 = 18 |
|||||
| 0 | 0 | 5 | 8 | ||
| 2 | 9 | 1 | 7 | 0 | 0 |
| – | 0 | ||||
| 1 | 7 | ||||
| – | 0 | ||||
| 1 | 7 | 0 | |||
| – | 1 | 4 | 5 | ||
| 2 | 5 | 0 | |||
| – | 2 | 3 | 2 | ||
| 1 | 8 | ||||
|
STEP 15: SUBTRACT 250 - 232 = 18 |
|||||
| 0 | 0 | 5 | 8 | ||
| 2 | 9 | 1 | 7 | 0 | 0 |
| – | 0 | ||||
| 1 | 7 | ||||
| – | 0 | ||||
| 1 | 7 | 0 | |||
| – | 1 | 4 | 5 | ||
| 2 | 5 | 0 | |||
| – | 2 | 3 | 2 | ||
| 1 | 8 | ||||
This page was created using
Long division calculator