Question
What is the quotient and remainder when $ 888 $ is divided by $ 52 $ ?
Answer
The quotient is 17 and the remainder is 4.
Explanation
| Division Table | ||||
| 0 | 1 | 7 | ||
| 5 | 2 | 8 | 8 | 8 |
| – | 0 | |||
| 8 | 8 | |||
| – | 5 | 2 | ||
| 3 | 6 | 8 | ||
| – | 3 | 6 | 4 | |
| 4 | ||||
|
STEP 0: set up a division table |
||||
| 5 | 2 | 8 | 8 | 8 |
|
STEP 1: DIVIDE 8 : 52 = 0 with a remainder of 8 |
||||
| 0 | ||||
| 5 | 2 | 8 | 8 | 8 |
|
STEP 2: MULTIPLY 0 · 52 = 0 |
||||
| 0 | ||||
| 5 | 2 | 8 | 8 | 8 |
| 0 | ||||
|
STEP 3: SUBTRACT 8 - 0 = 8 |
||||
| 0 | ||||
| 5 | 2 | 8 | 8 | 8 |
| – | 0 | |||
| 8 | ||||
| STEP 4: BRING DOWN | ||||
| 0 | ||||
| 5 | 2 | 8 | 8 | 8 |
| – | 0 | |||
| 8 | 8 | |||
|
STEP 5: DIVIDE 88 : 52 = 1 with a remainder of 36 |
||||
| 0 | 1 | |||
| 5 | 2 | 8 | 8 | 8 |
| – | 0 | |||
| 8 | 8 | |||
|
STEP 6: MULTIPLY 1 · 52 = 52 |
||||
| 0 | 1 | |||
| 5 | 2 | 8 | 8 | 8 |
| – | 0 | |||
| 8 | 8 | |||
| 5 | 2 | |||
|
STEP 7: SUBTRACT 88 - 52 = 36 |
||||
| 0 | 1 | |||
| 5 | 2 | 8 | 8 | 8 |
| – | 0 | |||
| 8 | 8 | |||
| – | 5 | 2 | ||
| 3 | 6 | |||
| STEP 8: BRING DOWN | ||||
| 0 | 1 | |||
| 5 | 2 | 8 | 8 | 8 |
| – | 0 | |||
| 8 | 8 | |||
| – | 5 | 2 | ||
| 3 | 6 | 8 | ||
|
STEP 9: DIVIDE 368 : 52 = 7 with a remainder of 4 |
||||
| 0 | 1 | 7 | ||
| 5 | 2 | 8 | 8 | 8 |
| – | 0 | |||
| 8 | 8 | |||
| – | 5 | 2 | ||
| 3 | 6 | 8 | ||
|
STEP 10: MULTIPLY 7 · 52 = 364 |
||||
| 0 | 1 | 7 | ||
| 5 | 2 | 8 | 8 | 8 |
| – | 0 | |||
| 8 | 8 | |||
| – | 5 | 2 | ||
| 3 | 6 | 8 | ||
| 3 | 6 | 4 | ||
|
STEP 11: SUBTRACT 368 - 364 = 4 |
||||
| 0 | 1 | 7 | ||
| 5 | 2 | 8 | 8 | 8 |
| – | 0 | |||
| 8 | 8 | |||
| – | 5 | 2 | ||
| 3 | 6 | 8 | ||
| – | 3 | 6 | 4 | |
| 4 | ||||
|
STEP 11: SUBTRACT 368 - 364 = 4 |
||||
| 0 | 1 | 7 | ||
| 5 | 2 | 8 | 8 | 8 |
| – | 0 | |||
| 8 | 8 | |||
| – | 5 | 2 | ||
| 3 | 6 | 8 | ||
| – | 3 | 6 | 4 | |
| 4 | ||||
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