Question
What is the quotient and remainder when $ 54 $ is divided by $ 24 $ ?
Answer
The quotient is 2 and the remainder is 6.
Explanation
| Division Table | |||
| 0 | 2 | ||
| 2 | 4 | 5 | 4 |
| – | 0 | ||
| 5 | 4 | ||
| – | 4 | 8 | |
| 6 | |||
|
STEP 0: set up a division table |
|||
| 2 | 4 | 5 | 4 |
|
STEP 1: DIVIDE 5 : 24 = 0 with a remainder of 5 |
|||
| 0 | |||
| 2 | 4 | 5 | 4 |
|
STEP 2: MULTIPLY 0 · 24 = 0 |
|||
| 0 | |||
| 2 | 4 | 5 | 4 |
| 0 | |||
|
STEP 3: SUBTRACT 5 - 0 = 5 |
|||
| 0 | |||
| 2 | 4 | 5 | 4 |
| – | 0 | ||
| 5 | |||
| STEP 4: BRING DOWN | |||
| 0 | |||
| 2 | 4 | 5 | 4 |
| – | 0 | ||
| 5 | 4 | ||
|
STEP 5: DIVIDE 54 : 24 = 2 with a remainder of 6 |
|||
| 0 | 2 | ||
| 2 | 4 | 5 | 4 |
| – | 0 | ||
| 5 | 4 | ||
|
STEP 6: MULTIPLY 2 · 24 = 48 |
|||
| 0 | 2 | ||
| 2 | 4 | 5 | 4 |
| – | 0 | ||
| 5 | 4 | ||
| 4 | 8 | ||
|
STEP 7: SUBTRACT 54 - 48 = 6 |
|||
| 0 | 2 | ||
| 2 | 4 | 5 | 4 |
| – | 0 | ||
| 5 | 4 | ||
| – | 4 | 8 | |
| 6 | |||
|
STEP 7: SUBTRACT 54 - 48 = 6 |
|||
| 0 | 2 | ||
| 2 | 4 | 5 | 4 |
| – | 0 | ||
| 5 | 4 | ||
| – | 4 | 8 | |
| 6 | |||
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