Question
What is the quotient and remainder when $ 65 $ is divided by $ 8 $ ?
Answer
The quotient is 8 and the remainder is 1.
Explanation
| Division Table | ||
| 0 | 8 | |
| 8 | 6 | 5 |
| – | 0 | |
| 6 | 5 | |
| – | 6 | 4 |
| 1 | ||
|
STEP 0: set up a division table |
||
| 8 | 6 | 5 |
|
STEP 1: DIVIDE 6 : 8 = 0 with a remainder of 6 |
||
| 0 | ||
| 8 | 6 | 5 |
|
STEP 2: MULTIPLY 0 · 8 = 0 |
||
| 0 | ||
| 8 | 6 | 5 |
| 0 | ||
|
STEP 3: SUBTRACT 6 - 0 = 6 |
||
| 0 | ||
| 8 | 6 | 5 |
| – | 0 | |
| 6 | ||
| STEP 4: BRING DOWN | ||
| 0 | ||
| 8 | 6 | 5 |
| – | 0 | |
| 6 | 5 | |
|
STEP 5: DIVIDE 65 : 8 = 8 with a remainder of 1 |
||
| 0 | 8 | |
| 8 | 6 | 5 |
| – | 0 | |
| 6 | 5 | |
|
STEP 6: MULTIPLY 8 · 8 = 64 |
||
| 0 | 8 | |
| 8 | 6 | 5 |
| – | 0 | |
| 6 | 5 | |
| 6 | 4 | |
|
STEP 7: SUBTRACT 65 - 64 = 1 |
||
| 0 | 8 | |
| 8 | 6 | 5 |
| – | 0 | |
| 6 | 5 | |
| – | 6 | 4 |
| 1 | ||
|
STEP 7: SUBTRACT 65 - 64 = 1 |
||
| 0 | 8 | |
| 8 | 6 | 5 |
| – | 0 | |
| 6 | 5 | |
| – | 6 | 4 |
| 1 | ||
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