What is the quotient and remainder when $ 83 $ is divided by $ 6 $ ?
Answer
The quotient is 13 and the remainder is 5.
Explanation
| Division Table | ||
| 1 | 3 | |
| 6 | 8 | 3 |
| – | 6 | |
| 2 | 3 | |
| – | 1 | 8 |
| 5 | ||
|
STEP 0: set up a division table |
||
| 6 | 8 | 3 |
|
STEP 1: DIVIDE 8 : 6 = 1 with a remainder of 2 |
||
| 1 | ||
| 6 | 8 | 3 |
|
STEP 2: MULTIPLY 1 · 6 = 6 |
||
| 1 | ||
| 6 | 8 | 3 |
| 6 | ||
|
STEP 3: SUBTRACT 8 - 6 = 2 |
||
| 1 | ||
| 6 | 8 | 3 |
| – | 6 | |
| 2 | ||
| STEP 4: BRING DOWN | ||
| 1 | ||
| 6 | 8 | 3 |
| – | 6 | |
| 2 | 3 | |
|
STEP 5: DIVIDE 23 : 6 = 3 with a remainder of 5 |
||
| 1 | 3 | |
| 6 | 8 | 3 |
| – | 6 | |
| 2 | 3 | |
|
STEP 6: MULTIPLY 3 · 6 = 18 |
||
| 1 | 3 | |
| 6 | 8 | 3 |
| – | 6 | |
| 2 | 3 | |
| 1 | 8 | |
|
STEP 7: SUBTRACT 23 - 18 = 5 |
||
| 1 | 3 | |
| 6 | 8 | 3 |
| – | 6 | |
| 2 | 3 | |
| – | 1 | 8 |
| 5 | ||
|
STEP 7: SUBTRACT 23 - 18 = 5 |
||
| 1 | 3 | |
| 6 | 8 | 3 |
| – | 6 | |
| 2 | 3 | |
| – | 1 | 8 |
| 5 | ||
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