Question
What is the quotient and remainder when $ 59 $ is divided by $ 8 $ ?
Answer
The quotient is 7 and the remainder is 3.
Explanation
| Division Table | ||
| 0 | 7 | |
| 8 | 5 | 9 |
| – | 0 | |
| 5 | 9 | |
| – | 5 | 6 |
| 3 | ||
|
STEP 0: set up a division table |
||
| 8 | 5 | 9 |
|
STEP 1: DIVIDE 5 : 8 = 0 with a remainder of 5 |
||
| 0 | ||
| 8 | 5 | 9 |
|
STEP 2: MULTIPLY 0 · 8 = 0 |
||
| 0 | ||
| 8 | 5 | 9 |
| 0 | ||
|
STEP 3: SUBTRACT 5 - 0 = 5 |
||
| 0 | ||
| 8 | 5 | 9 |
| – | 0 | |
| 5 | ||
| STEP 4: BRING DOWN | ||
| 0 | ||
| 8 | 5 | 9 |
| – | 0 | |
| 5 | 9 | |
|
STEP 5: DIVIDE 59 : 8 = 7 with a remainder of 3 |
||
| 0 | 7 | |
| 8 | 5 | 9 |
| – | 0 | |
| 5 | 9 | |
|
STEP 6: MULTIPLY 7 · 8 = 56 |
||
| 0 | 7 | |
| 8 | 5 | 9 |
| – | 0 | |
| 5 | 9 | |
| 5 | 6 | |
|
STEP 7: SUBTRACT 59 - 56 = 3 |
||
| 0 | 7 | |
| 8 | 5 | 9 |
| – | 0 | |
| 5 | 9 | |
| – | 5 | 6 |
| 3 | ||
|
STEP 7: SUBTRACT 59 - 56 = 3 |
||
| 0 | 7 | |
| 8 | 5 | 9 |
| – | 0 | |
| 5 | 9 | |
| – | 5 | 6 |
| 3 | ||
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