Question
What is the quotient and remainder when $ 81 $ is divided by $ 7 $ ?
Answer
The quotient is 11 and the remainder is 4.
Explanation
| Division Table | ||
| 1 | 1 | |
| 7 | 8 | 1 |
| – | 7 | |
| 1 | 1 | |
| – | 7 | |
| 4 | ||
|
STEP 0: set up a division table |
||
| 7 | 8 | 1 |
|
STEP 1: DIVIDE 8 : 7 = 1 with a remainder of 1 |
||
| 1 | ||
| 7 | 8 | 1 |
|
STEP 2: MULTIPLY 1 · 7 = 7 |
||
| 1 | ||
| 7 | 8 | 1 |
| 7 | ||
|
STEP 3: SUBTRACT 8 - 7 = 1 |
||
| 1 | ||
| 7 | 8 | 1 |
| – | 7 | |
| 1 | ||
| STEP 4: BRING DOWN | ||
| 1 | ||
| 7 | 8 | 1 |
| – | 7 | |
| 1 | 1 | |
|
STEP 5: DIVIDE 11 : 7 = 1 with a remainder of 4 |
||
| 1 | 1 | |
| 7 | 8 | 1 |
| – | 7 | |
| 1 | 1 | |
|
STEP 6: MULTIPLY 1 · 7 = 7 |
||
| 1 | 1 | |
| 7 | 8 | 1 |
| – | 7 | |
| 1 | 1 | |
| 7 | ||
|
STEP 7: SUBTRACT 11 - 7 = 4 |
||
| 1 | 1 | |
| 7 | 8 | 1 |
| – | 7 | |
| 1 | 1 | |
| – | 7 | |
| 4 | ||
|
STEP 7: SUBTRACT 11 - 7 = 4 |
||
| 1 | 1 | |
| 7 | 8 | 1 |
| – | 7 | |
| 1 | 1 | |
| – | 7 | |
| 4 | ||
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