Question
What is the quotient and remainder when $ 79 $ is divided by $ 6 $ ?
Answer
The quotient is 13 and the remainder is 1.
Explanation
| Division Table | ||
| 1 | 3 | |
| 6 | 7 | 9 |
| – | 6 | |
| 1 | 9 | |
| – | 1 | 8 |
| 1 | ||
|
STEP 0: set up a division table |
||
| 6 | 7 | 9 |
|
STEP 1: DIVIDE 7 : 6 = 1 with a remainder of 1 |
||
| 1 | ||
| 6 | 7 | 9 |
|
STEP 2: MULTIPLY 1 · 6 = 6 |
||
| 1 | ||
| 6 | 7 | 9 |
| 6 | ||
|
STEP 3: SUBTRACT 7 - 6 = 1 |
||
| 1 | ||
| 6 | 7 | 9 |
| – | 6 | |
| 1 | ||
| STEP 4: BRING DOWN | ||
| 1 | ||
| 6 | 7 | 9 |
| – | 6 | |
| 1 | 9 | |
|
STEP 5: DIVIDE 19 : 6 = 3 with a remainder of 1 |
||
| 1 | 3 | |
| 6 | 7 | 9 |
| – | 6 | |
| 1 | 9 | |
|
STEP 6: MULTIPLY 3 · 6 = 18 |
||
| 1 | 3 | |
| 6 | 7 | 9 |
| – | 6 | |
| 1 | 9 | |
| 1 | 8 | |
|
STEP 7: SUBTRACT 19 - 18 = 1 |
||
| 1 | 3 | |
| 6 | 7 | 9 |
| – | 6 | |
| 1 | 9 | |
| – | 1 | 8 |
| 1 | ||
|
STEP 7: SUBTRACT 19 - 18 = 1 |
||
| 1 | 3 | |
| 6 | 7 | 9 |
| – | 6 | |
| 1 | 9 | |
| – | 1 | 8 |
| 1 | ||
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