Question
What is the quotient and remainder when $ 61 $ is divided by $ 75 $ ?
Answer
The quotient is 0 and the remainder is 61.
Explanation
| Division Table | |||
| 0 | 0 | ||
| 7 | 5 | 6 | 1 |
| – | 0 | ||
| 6 | 1 | ||
| – | 0 | ||
| 6 | 1 | ||
|
STEP 0: set up a division table |
|||
| 7 | 5 | 6 | 1 |
|
STEP 1: DIVIDE 6 : 75 = 0 with a remainder of 6 |
|||
| 0 | |||
| 7 | 5 | 6 | 1 |
|
STEP 2: MULTIPLY 0 · 75 = 0 |
|||
| 0 | |||
| 7 | 5 | 6 | 1 |
| 0 | |||
|
STEP 3: SUBTRACT 6 - 0 = 6 |
|||
| 0 | |||
| 7 | 5 | 6 | 1 |
| – | 0 | ||
| 6 | |||
| STEP 4: BRING DOWN | |||
| 0 | |||
| 7 | 5 | 6 | 1 |
| – | 0 | ||
| 6 | 1 | ||
|
STEP 5: DIVIDE 61 : 75 = 0 with a remainder of 61 |
|||
| 0 | 0 | ||
| 7 | 5 | 6 | 1 |
| – | 0 | ||
| 6 | 1 | ||
|
STEP 6: MULTIPLY 0 · 75 = 0 |
|||
| 0 | 0 | ||
| 7 | 5 | 6 | 1 |
| – | 0 | ||
| 6 | 1 | ||
| 0 | |||
|
STEP 7: SUBTRACT 61 - 0 = 61 |
|||
| 0 | 0 | ||
| 7 | 5 | 6 | 1 |
| – | 0 | ||
| 6 | 1 | ||
| – | 0 | ||
| 6 | 1 | ||
|
STEP 7: SUBTRACT 61 - 0 = 61 |
|||
| 0 | 0 | ||
| 7 | 5 | 6 | 1 |
| – | 0 | ||
| 6 | 1 | ||
| – | 0 | ||
| 6 | 1 | ||
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