Question
What is the quotient and remainder when $ 50 $ is divided by $ 23 $ ?
Answer
The quotient is 2 and the remainder is 4.
Explanation
| Division Table | |||
| 0 | 2 | ||
| 2 | 3 | 5 | 0 |
| – | 0 | ||
| 5 | 0 | ||
| – | 4 | 6 | |
| 4 | |||
|
STEP 0: set up a division table |
|||
| 2 | 3 | 5 | 0 |
|
STEP 1: DIVIDE 5 : 23 = 0 with a remainder of 5 |
|||
| 0 | |||
| 2 | 3 | 5 | 0 |
|
STEP 2: MULTIPLY 0 · 23 = 0 |
|||
| 0 | |||
| 2 | 3 | 5 | 0 |
| 0 | |||
|
STEP 3: SUBTRACT 5 - 0 = 5 |
|||
| 0 | |||
| 2 | 3 | 5 | 0 |
| – | 0 | ||
| 5 | |||
| STEP 4: BRING DOWN | |||
| 0 | |||
| 2 | 3 | 5 | 0 |
| – | 0 | ||
| 5 | 0 | ||
|
STEP 5: DIVIDE 50 : 23 = 2 with a remainder of 4 |
|||
| 0 | 2 | ||
| 2 | 3 | 5 | 0 |
| – | 0 | ||
| 5 | 0 | ||
|
STEP 6: MULTIPLY 2 · 23 = 46 |
|||
| 0 | 2 | ||
| 2 | 3 | 5 | 0 |
| – | 0 | ||
| 5 | 0 | ||
| 4 | 6 | ||
|
STEP 7: SUBTRACT 50 - 46 = 4 |
|||
| 0 | 2 | ||
| 2 | 3 | 5 | 0 |
| – | 0 | ||
| 5 | 0 | ||
| – | 4 | 6 | |
| 4 | |||
|
STEP 7: SUBTRACT 50 - 46 = 4 |
|||
| 0 | 2 | ||
| 2 | 3 | 5 | 0 |
| – | 0 | ||
| 5 | 0 | ||
| – | 4 | 6 | |
| 4 | |||
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