Question
What is the quotient and remainder when $ 5813 $ is divided by $ 43 $ ?
Answer
The quotient is 135 and the remainder is 8.
Explanation
| Division Table | |||||
| 0 | 1 | 3 | 5 | ||
| 4 | 3 | 5 | 8 | 1 | 3 |
| – | 0 | ||||
| 5 | 8 | ||||
| – | 4 | 3 | |||
| 1 | 5 | 1 | |||
| – | 1 | 2 | 9 | ||
| 2 | 2 | 3 | |||
| – | 2 | 1 | 5 | ||
| 8 | |||||
|
STEP 0: set up a division table |
|||||
| 4 | 3 | 5 | 8 | 1 | 3 |
|
STEP 1: DIVIDE 5 : 43 = 0 with a remainder of 5 |
|||||
| 0 | |||||
| 4 | 3 | 5 | 8 | 1 | 3 |
|
STEP 2: MULTIPLY 0 · 43 = 0 |
|||||
| 0 | |||||
| 4 | 3 | 5 | 8 | 1 | 3 |
| 0 | |||||
|
STEP 3: SUBTRACT 5 - 0 = 5 |
|||||
| 0 | |||||
| 4 | 3 | 5 | 8 | 1 | 3 |
| – | 0 | ||||
| 5 | |||||
| STEP 4: BRING DOWN | |||||
| 0 | |||||
| 4 | 3 | 5 | 8 | 1 | 3 |
| – | 0 | ||||
| 5 | 8 | ||||
|
STEP 5: DIVIDE 58 : 43 = 1 with a remainder of 15 |
|||||
| 0 | 1 | ||||
| 4 | 3 | 5 | 8 | 1 | 3 |
| – | 0 | ||||
| 5 | 8 | ||||
|
STEP 6: MULTIPLY 1 · 43 = 43 |
|||||
| 0 | 1 | ||||
| 4 | 3 | 5 | 8 | 1 | 3 |
| – | 0 | ||||
| 5 | 8 | ||||
| 4 | 3 | ||||
|
STEP 7: SUBTRACT 58 - 43 = 15 |
|||||
| 0 | 1 | ||||
| 4 | 3 | 5 | 8 | 1 | 3 |
| – | 0 | ||||
| 5 | 8 | ||||
| – | 4 | 3 | |||
| 1 | 5 | ||||
| STEP 8: BRING DOWN | |||||
| 0 | 1 | ||||
| 4 | 3 | 5 | 8 | 1 | 3 |
| – | 0 | ||||
| 5 | 8 | ||||
| – | 4 | 3 | |||
| 1 | 5 | 1 | |||
|
STEP 9: DIVIDE 151 : 43 = 3 with a remainder of 22 |
|||||
| 0 | 1 | 3 | |||
| 4 | 3 | 5 | 8 | 1 | 3 |
| – | 0 | ||||
| 5 | 8 | ||||
| – | 4 | 3 | |||
| 1 | 5 | 1 | |||
|
STEP 10: MULTIPLY 3 · 43 = 129 |
|||||
| 0 | 1 | 3 | |||
| 4 | 3 | 5 | 8 | 1 | 3 |
| – | 0 | ||||
| 5 | 8 | ||||
| – | 4 | 3 | |||
| 1 | 5 | 1 | |||
| 1 | 2 | 9 | |||
|
STEP 11: SUBTRACT 151 - 129 = 22 |
|||||
| 0 | 1 | 3 | |||
| 4 | 3 | 5 | 8 | 1 | 3 |
| – | 0 | ||||
| 5 | 8 | ||||
| – | 4 | 3 | |||
| 1 | 5 | 1 | |||
| – | 1 | 2 | 9 | ||
| 2 | 2 | ||||
| STEP 12: BRING DOWN | |||||
| 0 | 1 | 3 | |||
| 4 | 3 | 5 | 8 | 1 | 3 |
| – | 0 | ||||
| 5 | 8 | ||||
| – | 4 | 3 | |||
| 1 | 5 | 1 | |||
| – | 1 | 2 | 9 | ||
| 2 | 2 | 3 | |||
|
STEP 13: DIVIDE 223 : 43 = 5 with a remainder of 8 |
|||||
| 0 | 1 | 3 | 5 | ||
| 4 | 3 | 5 | 8 | 1 | 3 |
| – | 0 | ||||
| 5 | 8 | ||||
| – | 4 | 3 | |||
| 1 | 5 | 1 | |||
| – | 1 | 2 | 9 | ||
| 2 | 2 | 3 | |||
|
STEP 14: MULTIPLY 5 · 43 = 215 |
|||||
| 0 | 1 | 3 | 5 | ||
| 4 | 3 | 5 | 8 | 1 | 3 |
| – | 0 | ||||
| 5 | 8 | ||||
| – | 4 | 3 | |||
| 1 | 5 | 1 | |||
| – | 1 | 2 | 9 | ||
| 2 | 2 | 3 | |||
| 2 | 1 | 5 | |||
|
STEP 15: SUBTRACT 223 - 215 = 8 |
|||||
| 0 | 1 | 3 | 5 | ||
| 4 | 3 | 5 | 8 | 1 | 3 |
| – | 0 | ||||
| 5 | 8 | ||||
| – | 4 | 3 | |||
| 1 | 5 | 1 | |||
| – | 1 | 2 | 9 | ||
| 2 | 2 | 3 | |||
| – | 2 | 1 | 5 | ||
| 8 | |||||
|
STEP 15: SUBTRACT 223 - 215 = 8 |
|||||
| 0 | 1 | 3 | 5 | ||
| 4 | 3 | 5 | 8 | 1 | 3 |
| – | 0 | ||||
| 5 | 8 | ||||
| – | 4 | 3 | |||
| 1 | 5 | 1 | |||
| – | 1 | 2 | 9 | ||
| 2 | 2 | 3 | |||
| – | 2 | 1 | 5 | ||
| 8 | |||||
This page was created using
Long division calculator