Question
What is the quotient and remainder when $ 4333 $ is divided by $ 8 $ ?
Answer
The quotient is 541 and the remainder is 5.
Explanation
| Division Table | ||||
| 0 | 5 | 4 | 1 | |
| 8 | 4 | 3 | 3 | 3 |
| – | 0 | |||
| 4 | 3 | |||
| – | 4 | 0 | ||
| 3 | 3 | |||
| – | 3 | 2 | ||
| 1 | 3 | |||
| – | 8 | |||
| 5 | ||||
|
STEP 0: set up a division table |
||||
| 8 | 4 | 3 | 3 | 3 |
|
STEP 1: DIVIDE 4 : 8 = 0 with a remainder of 4 |
||||
| 0 | ||||
| 8 | 4 | 3 | 3 | 3 |
|
STEP 2: MULTIPLY 0 · 8 = 0 |
||||
| 0 | ||||
| 8 | 4 | 3 | 3 | 3 |
| 0 | ||||
|
STEP 3: SUBTRACT 4 - 0 = 4 |
||||
| 0 | ||||
| 8 | 4 | 3 | 3 | 3 |
| – | 0 | |||
| 4 | ||||
| STEP 4: BRING DOWN | ||||
| 0 | ||||
| 8 | 4 | 3 | 3 | 3 |
| – | 0 | |||
| 4 | 3 | |||
|
STEP 5: DIVIDE 43 : 8 = 5 with a remainder of 3 |
||||
| 0 | 5 | |||
| 8 | 4 | 3 | 3 | 3 |
| – | 0 | |||
| 4 | 3 | |||
|
STEP 6: MULTIPLY 5 · 8 = 40 |
||||
| 0 | 5 | |||
| 8 | 4 | 3 | 3 | 3 |
| – | 0 | |||
| 4 | 3 | |||
| 4 | 0 | |||
|
STEP 7: SUBTRACT 43 - 40 = 3 |
||||
| 0 | 5 | |||
| 8 | 4 | 3 | 3 | 3 |
| – | 0 | |||
| 4 | 3 | |||
| – | 4 | 0 | ||
| 3 | ||||
| STEP 8: BRING DOWN | ||||
| 0 | 5 | |||
| 8 | 4 | 3 | 3 | 3 |
| – | 0 | |||
| 4 | 3 | |||
| – | 4 | 0 | ||
| 3 | 3 | |||
|
STEP 9: DIVIDE 33 : 8 = 4 with a remainder of 1 |
||||
| 0 | 5 | 4 | ||
| 8 | 4 | 3 | 3 | 3 |
| – | 0 | |||
| 4 | 3 | |||
| – | 4 | 0 | ||
| 3 | 3 | |||
|
STEP 10: MULTIPLY 4 · 8 = 32 |
||||
| 0 | 5 | 4 | ||
| 8 | 4 | 3 | 3 | 3 |
| – | 0 | |||
| 4 | 3 | |||
| – | 4 | 0 | ||
| 3 | 3 | |||
| 3 | 2 | |||
|
STEP 11: SUBTRACT 33 - 32 = 1 |
||||
| 0 | 5 | 4 | ||
| 8 | 4 | 3 | 3 | 3 |
| – | 0 | |||
| 4 | 3 | |||
| – | 4 | 0 | ||
| 3 | 3 | |||
| – | 3 | 2 | ||
| 1 | ||||
| STEP 12: BRING DOWN | ||||
| 0 | 5 | 4 | ||
| 8 | 4 | 3 | 3 | 3 |
| – | 0 | |||
| 4 | 3 | |||
| – | 4 | 0 | ||
| 3 | 3 | |||
| – | 3 | 2 | ||
| 1 | 3 | |||
|
STEP 13: DIVIDE 13 : 8 = 1 with a remainder of 5 |
||||
| 0 | 5 | 4 | 1 | |
| 8 | 4 | 3 | 3 | 3 |
| – | 0 | |||
| 4 | 3 | |||
| – | 4 | 0 | ||
| 3 | 3 | |||
| – | 3 | 2 | ||
| 1 | 3 | |||
|
STEP 14: MULTIPLY 1 · 8 = 8 |
||||
| 0 | 5 | 4 | 1 | |
| 8 | 4 | 3 | 3 | 3 |
| – | 0 | |||
| 4 | 3 | |||
| – | 4 | 0 | ||
| 3 | 3 | |||
| – | 3 | 2 | ||
| 1 | 3 | |||
| 8 | ||||
|
STEP 15: SUBTRACT 13 - 8 = 5 |
||||
| 0 | 5 | 4 | 1 | |
| 8 | 4 | 3 | 3 | 3 |
| – | 0 | |||
| 4 | 3 | |||
| – | 4 | 0 | ||
| 3 | 3 | |||
| – | 3 | 2 | ||
| 1 | 3 | |||
| – | 8 | |||
| 5 | ||||
|
STEP 15: SUBTRACT 13 - 8 = 5 |
||||
| 0 | 5 | 4 | 1 | |
| 8 | 4 | 3 | 3 | 3 |
| – | 0 | |||
| 4 | 3 | |||
| – | 4 | 0 | ||
| 3 | 3 | |||
| – | 3 | 2 | ||
| 1 | 3 | |||
| – | 8 | |||
| 5 | ||||
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