Question
What is the quotient and remainder when $ 72 $ is divided by $ 15 $ ?
Answer
The quotient is 4 and the remainder is 12.
Explanation
| Division Table | |||
| 0 | 4 | ||
| 1 | 5 | 7 | 2 |
| – | 0 | ||
| 7 | 2 | ||
| – | 6 | 0 | |
| 1 | 2 | ||
|
STEP 0: set up a division table |
|||
| 1 | 5 | 7 | 2 |
|
STEP 1: DIVIDE 7 : 15 = 0 with a remainder of 7 |
|||
| 0 | |||
| 1 | 5 | 7 | 2 |
|
STEP 2: MULTIPLY 0 · 15 = 0 |
|||
| 0 | |||
| 1 | 5 | 7 | 2 |
| 0 | |||
|
STEP 3: SUBTRACT 7 - 0 = 7 |
|||
| 0 | |||
| 1 | 5 | 7 | 2 |
| – | 0 | ||
| 7 | |||
| STEP 4: BRING DOWN | |||
| 0 | |||
| 1 | 5 | 7 | 2 |
| – | 0 | ||
| 7 | 2 | ||
|
STEP 5: DIVIDE 72 : 15 = 4 with a remainder of 12 |
|||
| 0 | 4 | ||
| 1 | 5 | 7 | 2 |
| – | 0 | ||
| 7 | 2 | ||
|
STEP 6: MULTIPLY 4 · 15 = 60 |
|||
| 0 | 4 | ||
| 1 | 5 | 7 | 2 |
| – | 0 | ||
| 7 | 2 | ||
| 6 | 0 | ||
|
STEP 7: SUBTRACT 72 - 60 = 12 |
|||
| 0 | 4 | ||
| 1 | 5 | 7 | 2 |
| – | 0 | ||
| 7 | 2 | ||
| – | 6 | 0 | |
| 1 | 2 | ||
|
STEP 7: SUBTRACT 72 - 60 = 12 |
|||
| 0 | 4 | ||
| 1 | 5 | 7 | 2 |
| – | 0 | ||
| 7 | 2 | ||
| – | 6 | 0 | |
| 1 | 2 | ||
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