Question
What is the quotient and remainder when $ 53 $ is divided by $ 6 $ ?
Answer
The quotient is 8 and the remainder is 5.
Explanation
| Division Table | ||
| 0 | 8 | |
| 6 | 5 | 3 |
| – | 0 | |
| 5 | 3 | |
| – | 4 | 8 |
| 5 | ||
|
STEP 0: set up a division table |
||
| 6 | 5 | 3 |
|
STEP 1: DIVIDE 5 : 6 = 0 with a remainder of 5 |
||
| 0 | ||
| 6 | 5 | 3 |
|
STEP 2: MULTIPLY 0 · 6 = 0 |
||
| 0 | ||
| 6 | 5 | 3 |
| 0 | ||
|
STEP 3: SUBTRACT 5 - 0 = 5 |
||
| 0 | ||
| 6 | 5 | 3 |
| – | 0 | |
| 5 | ||
| STEP 4: BRING DOWN | ||
| 0 | ||
| 6 | 5 | 3 |
| – | 0 | |
| 5 | 3 | |
|
STEP 5: DIVIDE 53 : 6 = 8 with a remainder of 5 |
||
| 0 | 8 | |
| 6 | 5 | 3 |
| – | 0 | |
| 5 | 3 | |
|
STEP 6: MULTIPLY 8 · 6 = 48 |
||
| 0 | 8 | |
| 6 | 5 | 3 |
| – | 0 | |
| 5 | 3 | |
| 4 | 8 | |
|
STEP 7: SUBTRACT 53 - 48 = 5 |
||
| 0 | 8 | |
| 6 | 5 | 3 |
| – | 0 | |
| 5 | 3 | |
| – | 4 | 8 |
| 5 | ||
|
STEP 7: SUBTRACT 53 - 48 = 5 |
||
| 0 | 8 | |
| 6 | 5 | 3 |
| – | 0 | |
| 5 | 3 | |
| – | 4 | 8 |
| 5 | ||
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