Question
What is the quotient and remainder when $ 85 $ is divided by $ 6 $ ?
Answer
The quotient is 14 and the remainder is 1.
Explanation
| Division Table | ||
| 1 | 4 | |
| 6 | 8 | 5 |
| – | 6 | |
| 2 | 5 | |
| – | 2 | 4 |
| 1 | ||
|
STEP 0: set up a division table |
||
| 6 | 8 | 5 |
|
STEP 1: DIVIDE 8 : 6 = 1 with a remainder of 2 |
||
| 1 | ||
| 6 | 8 | 5 |
|
STEP 2: MULTIPLY 1 · 6 = 6 |
||
| 1 | ||
| 6 | 8 | 5 |
| 6 | ||
|
STEP 3: SUBTRACT 8 - 6 = 2 |
||
| 1 | ||
| 6 | 8 | 5 |
| – | 6 | |
| 2 | ||
| STEP 4: BRING DOWN | ||
| 1 | ||
| 6 | 8 | 5 |
| – | 6 | |
| 2 | 5 | |
|
STEP 5: DIVIDE 25 : 6 = 4 with a remainder of 1 |
||
| 1 | 4 | |
| 6 | 8 | 5 |
| – | 6 | |
| 2 | 5 | |
|
STEP 6: MULTIPLY 4 · 6 = 24 |
||
| 1 | 4 | |
| 6 | 8 | 5 |
| – | 6 | |
| 2 | 5 | |
| 2 | 4 | |
|
STEP 7: SUBTRACT 25 - 24 = 1 |
||
| 1 | 4 | |
| 6 | 8 | 5 |
| – | 6 | |
| 2 | 5 | |
| – | 2 | 4 |
| 1 | ||
|
STEP 7: SUBTRACT 25 - 24 = 1 |
||
| 1 | 4 | |
| 6 | 8 | 5 |
| – | 6 | |
| 2 | 5 | |
| – | 2 | 4 |
| 1 | ||
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