Question
What is the quotient and remainder when $ 7844 $ is divided by $ 75 $ ?
Answer
The quotient is 104 and the remainder is 44.
Explanation
| Division Table | |||||
| 0 | 1 | 0 | 4 | ||
| 7 | 5 | 7 | 8 | 4 | 4 |
| – | 0 | ||||
| 7 | 8 | ||||
| – | 7 | 5 | |||
| 3 | 4 | ||||
| – | 0 | ||||
| 3 | 4 | 4 | |||
| – | 3 | 0 | 0 | ||
| 4 | 4 | ||||
|
STEP 0: set up a division table |
|||||
| 7 | 5 | 7 | 8 | 4 | 4 |
|
STEP 1: DIVIDE 7 : 75 = 0 with a remainder of 7 |
|||||
| 0 | |||||
| 7 | 5 | 7 | 8 | 4 | 4 |
|
STEP 2: MULTIPLY 0 · 75 = 0 |
|||||
| 0 | |||||
| 7 | 5 | 7 | 8 | 4 | 4 |
| 0 | |||||
|
STEP 3: SUBTRACT 7 - 0 = 7 |
|||||
| 0 | |||||
| 7 | 5 | 7 | 8 | 4 | 4 |
| – | 0 | ||||
| 7 | |||||
| STEP 4: BRING DOWN | |||||
| 0 | |||||
| 7 | 5 | 7 | 8 | 4 | 4 |
| – | 0 | ||||
| 7 | 8 | ||||
|
STEP 5: DIVIDE 78 : 75 = 1 with a remainder of 3 |
|||||
| 0 | 1 | ||||
| 7 | 5 | 7 | 8 | 4 | 4 |
| – | 0 | ||||
| 7 | 8 | ||||
|
STEP 6: MULTIPLY 1 · 75 = 75 |
|||||
| 0 | 1 | ||||
| 7 | 5 | 7 | 8 | 4 | 4 |
| – | 0 | ||||
| 7 | 8 | ||||
| 7 | 5 | ||||
|
STEP 7: SUBTRACT 78 - 75 = 3 |
|||||
| 0 | 1 | ||||
| 7 | 5 | 7 | 8 | 4 | 4 |
| – | 0 | ||||
| 7 | 8 | ||||
| – | 7 | 5 | |||
| 3 | |||||
| STEP 8: BRING DOWN | |||||
| 0 | 1 | ||||
| 7 | 5 | 7 | 8 | 4 | 4 |
| – | 0 | ||||
| 7 | 8 | ||||
| – | 7 | 5 | |||
| 3 | 4 | ||||
|
STEP 9: DIVIDE 34 : 75 = 0 with a remainder of 34 |
|||||
| 0 | 1 | 0 | |||
| 7 | 5 | 7 | 8 | 4 | 4 |
| – | 0 | ||||
| 7 | 8 | ||||
| – | 7 | 5 | |||
| 3 | 4 | ||||
|
STEP 10: MULTIPLY 0 · 75 = 0 |
|||||
| 0 | 1 | 0 | |||
| 7 | 5 | 7 | 8 | 4 | 4 |
| – | 0 | ||||
| 7 | 8 | ||||
| – | 7 | 5 | |||
| 3 | 4 | ||||
| 0 | |||||
|
STEP 11: SUBTRACT 34 - 0 = 34 |
|||||
| 0 | 1 | 0 | |||
| 7 | 5 | 7 | 8 | 4 | 4 |
| – | 0 | ||||
| 7 | 8 | ||||
| – | 7 | 5 | |||
| 3 | 4 | ||||
| – | 0 | ||||
| 3 | 4 | ||||
| STEP 12: BRING DOWN | |||||
| 0 | 1 | 0 | |||
| 7 | 5 | 7 | 8 | 4 | 4 |
| – | 0 | ||||
| 7 | 8 | ||||
| – | 7 | 5 | |||
| 3 | 4 | ||||
| – | 0 | ||||
| 3 | 4 | 4 | |||
|
STEP 13: DIVIDE 344 : 75 = 4 with a remainder of 44 |
|||||
| 0 | 1 | 0 | 4 | ||
| 7 | 5 | 7 | 8 | 4 | 4 |
| – | 0 | ||||
| 7 | 8 | ||||
| – | 7 | 5 | |||
| 3 | 4 | ||||
| – | 0 | ||||
| 3 | 4 | 4 | |||
|
STEP 14: MULTIPLY 4 · 75 = 300 |
|||||
| 0 | 1 | 0 | 4 | ||
| 7 | 5 | 7 | 8 | 4 | 4 |
| – | 0 | ||||
| 7 | 8 | ||||
| – | 7 | 5 | |||
| 3 | 4 | ||||
| – | 0 | ||||
| 3 | 4 | 4 | |||
| 3 | 0 | 0 | |||
|
STEP 15: SUBTRACT 344 - 300 = 44 |
|||||
| 0 | 1 | 0 | 4 | ||
| 7 | 5 | 7 | 8 | 4 | 4 |
| – | 0 | ||||
| 7 | 8 | ||||
| – | 7 | 5 | |||
| 3 | 4 | ||||
| – | 0 | ||||
| 3 | 4 | 4 | |||
| – | 3 | 0 | 0 | ||
| 4 | 4 | ||||
|
STEP 15: SUBTRACT 344 - 300 = 44 |
|||||
| 0 | 1 | 0 | 4 | ||
| 7 | 5 | 7 | 8 | 4 | 4 |
| – | 0 | ||||
| 7 | 8 | ||||
| – | 7 | 5 | |||
| 3 | 4 | ||||
| – | 0 | ||||
| 3 | 4 | 4 | |||
| – | 3 | 0 | 0 | ||
| 4 | 4 | ||||
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