Question
What is the quotient and remainder when $ 66 $ is divided by $ 4 $ ?
Answer
The quotient is 16 and the remainder is 2.
Explanation
| Division Table | ||
| 1 | 6 | |
| 4 | 6 | 6 |
| – | 4 | |
| 2 | 6 | |
| – | 2 | 4 |
| 2 | ||
|
STEP 0: set up a division table |
||
| 4 | 6 | 6 |
|
STEP 1: DIVIDE 6 : 4 = 1 with a remainder of 2 |
||
| 1 | ||
| 4 | 6 | 6 |
|
STEP 2: MULTIPLY 1 · 4 = 4 |
||
| 1 | ||
| 4 | 6 | 6 |
| 4 | ||
|
STEP 3: SUBTRACT 6 - 4 = 2 |
||
| 1 | ||
| 4 | 6 | 6 |
| – | 4 | |
| 2 | ||
| STEP 4: BRING DOWN | ||
| 1 | ||
| 4 | 6 | 6 |
| – | 4 | |
| 2 | 6 | |
|
STEP 5: DIVIDE 26 : 4 = 6 with a remainder of 2 |
||
| 1 | 6 | |
| 4 | 6 | 6 |
| – | 4 | |
| 2 | 6 | |
|
STEP 6: MULTIPLY 6 · 4 = 24 |
||
| 1 | 6 | |
| 4 | 6 | 6 |
| – | 4 | |
| 2 | 6 | |
| 2 | 4 | |
|
STEP 7: SUBTRACT 26 - 24 = 2 |
||
| 1 | 6 | |
| 4 | 6 | 6 |
| – | 4 | |
| 2 | 6 | |
| – | 2 | 4 |
| 2 | ||
|
STEP 7: SUBTRACT 26 - 24 = 2 |
||
| 1 | 6 | |
| 4 | 6 | 6 |
| – | 4 | |
| 2 | 6 | |
| – | 2 | 4 |
| 2 | ||
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