Question
What is the quotient and remainder when $ 848 $ is divided by $ 53 $ ?
Answer
The quotient is 16 and the remainder is 0.
Explanation
| Division Table | ||||
| 0 | 1 | 6 | ||
| 5 | 3 | 8 | 4 | 8 |
| – | 0 | |||
| 8 | 4 | |||
| – | 5 | 3 | ||
| 3 | 1 | 8 | ||
| – | 3 | 1 | 8 | |
| 0 | ||||
|
STEP 0: set up a division table |
||||
| 5 | 3 | 8 | 4 | 8 |
|
STEP 1: DIVIDE 8 : 53 = 0 with a remainder of 8 |
||||
| 0 | ||||
| 5 | 3 | 8 | 4 | 8 |
|
STEP 2: MULTIPLY 0 · 53 = 0 |
||||
| 0 | ||||
| 5 | 3 | 8 | 4 | 8 |
| 0 | ||||
|
STEP 3: SUBTRACT 8 - 0 = 8 |
||||
| 0 | ||||
| 5 | 3 | 8 | 4 | 8 |
| – | 0 | |||
| 8 | ||||
| STEP 4: BRING DOWN | ||||
| 0 | ||||
| 5 | 3 | 8 | 4 | 8 |
| – | 0 | |||
| 8 | 4 | |||
|
STEP 5: DIVIDE 84 : 53 = 1 with a remainder of 31 |
||||
| 0 | 1 | |||
| 5 | 3 | 8 | 4 | 8 |
| – | 0 | |||
| 8 | 4 | |||
|
STEP 6: MULTIPLY 1 · 53 = 53 |
||||
| 0 | 1 | |||
| 5 | 3 | 8 | 4 | 8 |
| – | 0 | |||
| 8 | 4 | |||
| 5 | 3 | |||
|
STEP 7: SUBTRACT 84 - 53 = 31 |
||||
| 0 | 1 | |||
| 5 | 3 | 8 | 4 | 8 |
| – | 0 | |||
| 8 | 4 | |||
| – | 5 | 3 | ||
| 3 | 1 | |||
| STEP 8: BRING DOWN | ||||
| 0 | 1 | |||
| 5 | 3 | 8 | 4 | 8 |
| – | 0 | |||
| 8 | 4 | |||
| – | 5 | 3 | ||
| 3 | 1 | 8 | ||
|
STEP 9: DIVIDE 318 : 53 = 6 with a remainder of 0 |
||||
| 0 | 1 | 6 | ||
| 5 | 3 | 8 | 4 | 8 |
| – | 0 | |||
| 8 | 4 | |||
| – | 5 | 3 | ||
| 3 | 1 | 8 | ||
|
STEP 10: MULTIPLY 6 · 53 = 318 |
||||
| 0 | 1 | 6 | ||
| 5 | 3 | 8 | 4 | 8 |
| – | 0 | |||
| 8 | 4 | |||
| – | 5 | 3 | ||
| 3 | 1 | 8 | ||
| 3 | 1 | 8 | ||
|
STEP 11: SUBTRACT 318 - 318 = 0 |
||||
| 0 | 1 | 6 | ||
| 5 | 3 | 8 | 4 | 8 |
| – | 0 | |||
| 8 | 4 | |||
| – | 5 | 3 | ||
| 3 | 1 | 8 | ||
| – | 3 | 1 | 8 | |
| 0 | ||||
|
STEP 11: SUBTRACT 318 - 318 = 0 |
||||
| 0 | 1 | 6 | ||
| 5 | 3 | 8 | 4 | 8 |
| – | 0 | |||
| 8 | 4 | |||
| – | 5 | 3 | ||
| 3 | 1 | 8 | ||
| – | 3 | 1 | 8 | |
| 0 | ||||
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