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