Question
What is the quotient and remainder when $ 27 $ is divided by $ 23 $ ?
Answer
The quotient is 1 and the remainder is 4.
Explanation
| Division Table | |||
| 0 | 1 | ||
| 2 | 3 | 2 | 7 |
| – | 0 | ||
| 2 | 7 | ||
| – | 2 | 3 | |
| 4 | |||
|
STEP 0: set up a division table |
|||
| 2 | 3 | 2 | 7 |
|
STEP 1: DIVIDE 2 : 23 = 0 with a remainder of 2 |
|||
| 0 | |||
| 2 | 3 | 2 | 7 |
|
STEP 2: MULTIPLY 0 · 23 = 0 |
|||
| 0 | |||
| 2 | 3 | 2 | 7 |
| 0 | |||
|
STEP 3: SUBTRACT 2 - 0 = 2 |
|||
| 0 | |||
| 2 | 3 | 2 | 7 |
| – | 0 | ||
| 2 | |||
| STEP 4: BRING DOWN | |||
| 0 | |||
| 2 | 3 | 2 | 7 |
| – | 0 | ||
| 2 | 7 | ||
|
STEP 5: DIVIDE 27 : 23 = 1 with a remainder of 4 |
|||
| 0 | 1 | ||
| 2 | 3 | 2 | 7 |
| – | 0 | ||
| 2 | 7 | ||
|
STEP 6: MULTIPLY 1 · 23 = 23 |
|||
| 0 | 1 | ||
| 2 | 3 | 2 | 7 |
| – | 0 | ||
| 2 | 7 | ||
| 2 | 3 | ||
|
STEP 7: SUBTRACT 27 - 23 = 4 |
|||
| 0 | 1 | ||
| 2 | 3 | 2 | 7 |
| – | 0 | ||
| 2 | 7 | ||
| – | 2 | 3 | |
| 4 | |||
|
STEP 7: SUBTRACT 27 - 23 = 4 |
|||
| 0 | 1 | ||
| 2 | 3 | 2 | 7 |
| – | 0 | ||
| 2 | 7 | ||
| – | 2 | 3 | |
| 4 | |||
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