Question
What is the quotient and remainder when $ 369 $ is divided by $ 51 $ ?
Answer
The quotient is 7 and the remainder is 12.
Explanation
| Division Table | ||||
| 0 | 0 | 7 | ||
| 5 | 1 | 3 | 6 | 9 |
| – | 0 | |||
| 3 | 6 | |||
| – | 0 | |||
| 3 | 6 | 9 | ||
| – | 3 | 5 | 7 | |
| 1 | 2 | |||
|
STEP 0: set up a division table |
||||
| 5 | 1 | 3 | 6 | 9 |
|
STEP 1: DIVIDE 3 : 51 = 0 with a remainder of 3 |
||||
| 0 | ||||
| 5 | 1 | 3 | 6 | 9 |
|
STEP 2: MULTIPLY 0 · 51 = 0 |
||||
| 0 | ||||
| 5 | 1 | 3 | 6 | 9 |
| 0 | ||||
|
STEP 3: SUBTRACT 3 - 0 = 3 |
||||
| 0 | ||||
| 5 | 1 | 3 | 6 | 9 |
| – | 0 | |||
| 3 | ||||
| STEP 4: BRING DOWN | ||||
| 0 | ||||
| 5 | 1 | 3 | 6 | 9 |
| – | 0 | |||
| 3 | 6 | |||
|
STEP 5: DIVIDE 36 : 51 = 0 with a remainder of 36 |
||||
| 0 | 0 | |||
| 5 | 1 | 3 | 6 | 9 |
| – | 0 | |||
| 3 | 6 | |||
|
STEP 6: MULTIPLY 0 · 51 = 0 |
||||
| 0 | 0 | |||
| 5 | 1 | 3 | 6 | 9 |
| – | 0 | |||
| 3 | 6 | |||
| 0 | ||||
|
STEP 7: SUBTRACT 36 - 0 = 36 |
||||
| 0 | 0 | |||
| 5 | 1 | 3 | 6 | 9 |
| – | 0 | |||
| 3 | 6 | |||
| – | 0 | |||
| 3 | 6 | |||
| STEP 8: BRING DOWN | ||||
| 0 | 0 | |||
| 5 | 1 | 3 | 6 | 9 |
| – | 0 | |||
| 3 | 6 | |||
| – | 0 | |||
| 3 | 6 | 9 | ||
|
STEP 9: DIVIDE 369 : 51 = 7 with a remainder of 12 |
||||
| 0 | 0 | 7 | ||
| 5 | 1 | 3 | 6 | 9 |
| – | 0 | |||
| 3 | 6 | |||
| – | 0 | |||
| 3 | 6 | 9 | ||
|
STEP 10: MULTIPLY 7 · 51 = 357 |
||||
| 0 | 0 | 7 | ||
| 5 | 1 | 3 | 6 | 9 |
| – | 0 | |||
| 3 | 6 | |||
| – | 0 | |||
| 3 | 6 | 9 | ||
| 3 | 5 | 7 | ||
|
STEP 11: SUBTRACT 369 - 357 = 12 |
||||
| 0 | 0 | 7 | ||
| 5 | 1 | 3 | 6 | 9 |
| – | 0 | |||
| 3 | 6 | |||
| – | 0 | |||
| 3 | 6 | 9 | ||
| – | 3 | 5 | 7 | |
| 1 | 2 | |||
|
STEP 11: SUBTRACT 369 - 357 = 12 |
||||
| 0 | 0 | 7 | ||
| 5 | 1 | 3 | 6 | 9 |
| – | 0 | |||
| 3 | 6 | |||
| – | 0 | |||
| 3 | 6 | 9 | ||
| – | 3 | 5 | 7 | |
| 1 | 2 | |||
This page was created using
Long division calculator