Question
What is the quotient and remainder when $ 373 $ is divided by $ 8 $ ?
Answer
The quotient is 46 and the remainder is 5.
Explanation
| Division Table | |||
| 0 | 4 | 6 | |
| 8 | 3 | 7 | 3 |
| – | 0 | ||
| 3 | 7 | ||
| – | 3 | 2 | |
| 5 | 3 | ||
| – | 4 | 8 | |
| 5 | |||
|
STEP 0: set up a division table |
|||
| 8 | 3 | 7 | 3 |
|
STEP 1: DIVIDE 3 : 8 = 0 with a remainder of 3 |
|||
| 0 | |||
| 8 | 3 | 7 | 3 |
|
STEP 2: MULTIPLY 0 · 8 = 0 |
|||
| 0 | |||
| 8 | 3 | 7 | 3 |
| 0 | |||
|
STEP 3: SUBTRACT 3 - 0 = 3 |
|||
| 0 | |||
| 8 | 3 | 7 | 3 |
| – | 0 | ||
| 3 | |||
| STEP 4: BRING DOWN | |||
| 0 | |||
| 8 | 3 | 7 | 3 |
| – | 0 | ||
| 3 | 7 | ||
|
STEP 5: DIVIDE 37 : 8 = 4 with a remainder of 5 |
|||
| 0 | 4 | ||
| 8 | 3 | 7 | 3 |
| – | 0 | ||
| 3 | 7 | ||
|
STEP 6: MULTIPLY 4 · 8 = 32 |
|||
| 0 | 4 | ||
| 8 | 3 | 7 | 3 |
| – | 0 | ||
| 3 | 7 | ||
| 3 | 2 | ||
|
STEP 7: SUBTRACT 37 - 32 = 5 |
|||
| 0 | 4 | ||
| 8 | 3 | 7 | 3 |
| – | 0 | ||
| 3 | 7 | ||
| – | 3 | 2 | |
| 5 | |||
| STEP 8: BRING DOWN | |||
| 0 | 4 | ||
| 8 | 3 | 7 | 3 |
| – | 0 | ||
| 3 | 7 | ||
| – | 3 | 2 | |
| 5 | 3 | ||
|
STEP 9: DIVIDE 53 : 8 = 6 with a remainder of 5 |
|||
| 0 | 4 | 6 | |
| 8 | 3 | 7 | 3 |
| – | 0 | ||
| 3 | 7 | ||
| – | 3 | 2 | |
| 5 | 3 | ||
|
STEP 10: MULTIPLY 6 · 8 = 48 |
|||
| 0 | 4 | 6 | |
| 8 | 3 | 7 | 3 |
| – | 0 | ||
| 3 | 7 | ||
| – | 3 | 2 | |
| 5 | 3 | ||
| 4 | 8 | ||
|
STEP 11: SUBTRACT 53 - 48 = 5 |
|||
| 0 | 4 | 6 | |
| 8 | 3 | 7 | 3 |
| – | 0 | ||
| 3 | 7 | ||
| – | 3 | 2 | |
| 5 | 3 | ||
| – | 4 | 8 | |
| 5 | |||
|
STEP 11: SUBTRACT 53 - 48 = 5 |
|||
| 0 | 4 | 6 | |
| 8 | 3 | 7 | 3 |
| – | 0 | ||
| 3 | 7 | ||
| – | 3 | 2 | |
| 5 | 3 | ||
| – | 4 | 8 | |
| 5 | |||
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