Question
What is the quotient and remainder when $ 75 $ is divided by $ 10 $ ?
Answer
The quotient is 7 and the remainder is 5.
Explanation
| Division Table | |||
| 0 | 7 | ||
| 1 | 0 | 7 | 5 |
| – | 0 | ||
| 7 | 5 | ||
| – | 7 | 0 | |
| 5 | |||
|
STEP 0: set up a division table |
|||
| 1 | 0 | 7 | 5 |
|
STEP 1: DIVIDE 7 : 10 = 0 with a remainder of 7 |
|||
| 0 | |||
| 1 | 0 | 7 | 5 |
|
STEP 2: MULTIPLY 0 · 10 = 0 |
|||
| 0 | |||
| 1 | 0 | 7 | 5 |
| 0 | |||
|
STEP 3: SUBTRACT 7 - 0 = 7 |
|||
| 0 | |||
| 1 | 0 | 7 | 5 |
| – | 0 | ||
| 7 | |||
| STEP 4: BRING DOWN | |||
| 0 | |||
| 1 | 0 | 7 | 5 |
| – | 0 | ||
| 7 | 5 | ||
|
STEP 5: DIVIDE 75 : 10 = 7 with a remainder of 5 |
|||
| 0 | 7 | ||
| 1 | 0 | 7 | 5 |
| – | 0 | ||
| 7 | 5 | ||
|
STEP 6: MULTIPLY 7 · 10 = 70 |
|||
| 0 | 7 | ||
| 1 | 0 | 7 | 5 |
| – | 0 | ||
| 7 | 5 | ||
| 7 | 0 | ||
|
STEP 7: SUBTRACT 75 - 70 = 5 |
|||
| 0 | 7 | ||
| 1 | 0 | 7 | 5 |
| – | 0 | ||
| 7 | 5 | ||
| – | 7 | 0 | |
| 5 | |||
|
STEP 7: SUBTRACT 75 - 70 = 5 |
|||
| 0 | 7 | ||
| 1 | 0 | 7 | 5 |
| – | 0 | ||
| 7 | 5 | ||
| – | 7 | 0 | |
| 5 | |||
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