What is the quotient and remainder when $ 328 $ is divided by $ 73 $ ?
Answer
The quotient is 4 and the remainder is 36.
Explanation
| Division Table | ||||
| 0 | 0 | 4 | ||
| 7 | 3 | 3 | 2 | 8 |
| – | 0 | |||
| 3 | 2 | |||
| – | 0 | |||
| 3 | 2 | 8 | ||
| – | 2 | 9 | 2 | |
| 3 | 6 | |||
|
STEP 0: set up a division table |
||||
| 7 | 3 | 3 | 2 | 8 |
|
STEP 1: DIVIDE 3 : 73 = 0 with a remainder of 3 |
||||
| 0 | ||||
| 7 | 3 | 3 | 2 | 8 |
|
STEP 2: MULTIPLY 0 · 73 = 0 |
||||
| 0 | ||||
| 7 | 3 | 3 | 2 | 8 |
| 0 | ||||
|
STEP 3: SUBTRACT 3 - 0 = 3 |
||||
| 0 | ||||
| 7 | 3 | 3 | 2 | 8 |
| – | 0 | |||
| 3 | ||||
| STEP 4: BRING DOWN | ||||
| 0 | ||||
| 7 | 3 | 3 | 2 | 8 |
| – | 0 | |||
| 3 | 2 | |||
|
STEP 5: DIVIDE 32 : 73 = 0 with a remainder of 32 |
||||
| 0 | 0 | |||
| 7 | 3 | 3 | 2 | 8 |
| – | 0 | |||
| 3 | 2 | |||
|
STEP 6: MULTIPLY 0 · 73 = 0 |
||||
| 0 | 0 | |||
| 7 | 3 | 3 | 2 | 8 |
| – | 0 | |||
| 3 | 2 | |||
| 0 | ||||
|
STEP 7: SUBTRACT 32 - 0 = 32 |
||||
| 0 | 0 | |||
| 7 | 3 | 3 | 2 | 8 |
| – | 0 | |||
| 3 | 2 | |||
| – | 0 | |||
| 3 | 2 | |||
| STEP 8: BRING DOWN | ||||
| 0 | 0 | |||
| 7 | 3 | 3 | 2 | 8 |
| – | 0 | |||
| 3 | 2 | |||
| – | 0 | |||
| 3 | 2 | 8 | ||
|
STEP 9: DIVIDE 328 : 73 = 4 with a remainder of 36 |
||||
| 0 | 0 | 4 | ||
| 7 | 3 | 3 | 2 | 8 |
| – | 0 | |||
| 3 | 2 | |||
| – | 0 | |||
| 3 | 2 | 8 | ||
|
STEP 10: MULTIPLY 4 · 73 = 292 |
||||
| 0 | 0 | 4 | ||
| 7 | 3 | 3 | 2 | 8 |
| – | 0 | |||
| 3 | 2 | |||
| – | 0 | |||
| 3 | 2 | 8 | ||
| 2 | 9 | 2 | ||
|
STEP 11: SUBTRACT 328 - 292 = 36 |
||||
| 0 | 0 | 4 | ||
| 7 | 3 | 3 | 2 | 8 |
| – | 0 | |||
| 3 | 2 | |||
| – | 0 | |||
| 3 | 2 | 8 | ||
| – | 2 | 9 | 2 | |
| 3 | 6 | |||
|
STEP 11: SUBTRACT 328 - 292 = 36 |
||||
| 0 | 0 | 4 | ||
| 7 | 3 | 3 | 2 | 8 |
| – | 0 | |||
| 3 | 2 | |||
| – | 0 | |||
| 3 | 2 | 8 | ||
| – | 2 | 9 | 2 | |
| 3 | 6 | |||
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