Question
What is the quotient and remainder when $ 3375 $ is divided by $ 75 $ ?
Answer
The quotient is 45 and the remainder is 0.
Explanation
| Division Table | |||||
| 0 | 0 | 4 | 5 | ||
| 7 | 5 | 3 | 3 | 7 | 5 |
| – | 0 | ||||
| 3 | 3 | ||||
| – | 0 | ||||
| 3 | 3 | 7 | |||
| – | 3 | 0 | 0 | ||
| 3 | 7 | 5 | |||
| – | 3 | 7 | 5 | ||
| 0 | |||||
|
STEP 0: set up a division table |
|||||
| 7 | 5 | 3 | 3 | 7 | 5 |
|
STEP 1: DIVIDE 3 : 75 = 0 with a remainder of 3 |
|||||
| 0 | |||||
| 7 | 5 | 3 | 3 | 7 | 5 |
|
STEP 2: MULTIPLY 0 · 75 = 0 |
|||||
| 0 | |||||
| 7 | 5 | 3 | 3 | 7 | 5 |
| 0 | |||||
|
STEP 3: SUBTRACT 3 - 0 = 3 |
|||||
| 0 | |||||
| 7 | 5 | 3 | 3 | 7 | 5 |
| – | 0 | ||||
| 3 | |||||
| STEP 4: BRING DOWN | |||||
| 0 | |||||
| 7 | 5 | 3 | 3 | 7 | 5 |
| – | 0 | ||||
| 3 | 3 | ||||
|
STEP 5: DIVIDE 33 : 75 = 0 with a remainder of 33 |
|||||
| 0 | 0 | ||||
| 7 | 5 | 3 | 3 | 7 | 5 |
| – | 0 | ||||
| 3 | 3 | ||||
|
STEP 6: MULTIPLY 0 · 75 = 0 |
|||||
| 0 | 0 | ||||
| 7 | 5 | 3 | 3 | 7 | 5 |
| – | 0 | ||||
| 3 | 3 | ||||
| 0 | |||||
|
STEP 7: SUBTRACT 33 - 0 = 33 |
|||||
| 0 | 0 | ||||
| 7 | 5 | 3 | 3 | 7 | 5 |
| – | 0 | ||||
| 3 | 3 | ||||
| – | 0 | ||||
| 3 | 3 | ||||
| STEP 8: BRING DOWN | |||||
| 0 | 0 | ||||
| 7 | 5 | 3 | 3 | 7 | 5 |
| – | 0 | ||||
| 3 | 3 | ||||
| – | 0 | ||||
| 3 | 3 | 7 | |||
|
STEP 9: DIVIDE 337 : 75 = 4 with a remainder of 37 |
|||||
| 0 | 0 | 4 | |||
| 7 | 5 | 3 | 3 | 7 | 5 |
| – | 0 | ||||
| 3 | 3 | ||||
| – | 0 | ||||
| 3 | 3 | 7 | |||
|
STEP 10: MULTIPLY 4 · 75 = 300 |
|||||
| 0 | 0 | 4 | |||
| 7 | 5 | 3 | 3 | 7 | 5 |
| – | 0 | ||||
| 3 | 3 | ||||
| – | 0 | ||||
| 3 | 3 | 7 | |||
| 3 | 0 | 0 | |||
|
STEP 11: SUBTRACT 337 - 300 = 37 |
|||||
| 0 | 0 | 4 | |||
| 7 | 5 | 3 | 3 | 7 | 5 |
| – | 0 | ||||
| 3 | 3 | ||||
| – | 0 | ||||
| 3 | 3 | 7 | |||
| – | 3 | 0 | 0 | ||
| 3 | 7 | ||||
| STEP 12: BRING DOWN | |||||
| 0 | 0 | 4 | |||
| 7 | 5 | 3 | 3 | 7 | 5 |
| – | 0 | ||||
| 3 | 3 | ||||
| – | 0 | ||||
| 3 | 3 | 7 | |||
| – | 3 | 0 | 0 | ||
| 3 | 7 | 5 | |||
|
STEP 13: DIVIDE 375 : 75 = 5 with a remainder of 0 |
|||||
| 0 | 0 | 4 | 5 | ||
| 7 | 5 | 3 | 3 | 7 | 5 |
| – | 0 | ||||
| 3 | 3 | ||||
| – | 0 | ||||
| 3 | 3 | 7 | |||
| – | 3 | 0 | 0 | ||
| 3 | 7 | 5 | |||
|
STEP 14: MULTIPLY 5 · 75 = 375 |
|||||
| 0 | 0 | 4 | 5 | ||
| 7 | 5 | 3 | 3 | 7 | 5 |
| – | 0 | ||||
| 3 | 3 | ||||
| – | 0 | ||||
| 3 | 3 | 7 | |||
| – | 3 | 0 | 0 | ||
| 3 | 7 | 5 | |||
| 3 | 7 | 5 | |||
|
STEP 15: SUBTRACT 375 - 375 = 0 |
|||||
| 0 | 0 | 4 | 5 | ||
| 7 | 5 | 3 | 3 | 7 | 5 |
| – | 0 | ||||
| 3 | 3 | ||||
| – | 0 | ||||
| 3 | 3 | 7 | |||
| – | 3 | 0 | 0 | ||
| 3 | 7 | 5 | |||
| – | 3 | 7 | 5 | ||
| 0 | |||||
|
STEP 15: SUBTRACT 375 - 375 = 0 |
|||||
| 0 | 0 | 4 | 5 | ||
| 7 | 5 | 3 | 3 | 7 | 5 |
| – | 0 | ||||
| 3 | 3 | ||||
| – | 0 | ||||
| 3 | 3 | 7 | |||
| – | 3 | 0 | 0 | ||
| 3 | 7 | 5 | |||
| – | 3 | 7 | 5 | ||
| 0 | |||||
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