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Question
What is the quotient and remainder when $ 596 $ is divided by $ 21 $ ?
Answer
The quotient is 28 and the remainder is 8.
Explanation
|
Division Table
|
| | | 0 | 2 | 8 |
| 2 | 1 | 5 | 9 | 6 |
| | – | 0 | | |
| | | 5 | 9 | |
| | – | 4 | 2 | |
| | | 1 | 7 | 6 |
| | – | 1 | 6 | 8 |
| | | | | 8 |
STEP 0: set up a division table
|
| | | | | |
| 2 | 1 | 5 | 9 | 6 |
STEP 1: DIVIDE 5 : 21 = 0 with a remainder of 5
|
| | | 0 | | |
| 2 | 1 | 5 | 9 | 6 |
STEP 2: MULTIPLY 0 · 21 = 0
|
| | | 0 | | |
| 2 | 1 | 5 | 9 | 6 |
| | | 0 | | |
STEP 3: SUBTRACT 5 - 0 = 5
|
| | | 0 | | |
| 2 | 1 | 5 | 9 | 6 |
| | – | 0 | | |
| | | 5 | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | |
| 2 | 1 | 5 | 9 | 6 |
| | – | 0 | | |
| | | 5 | 9 | |
STEP 5: DIVIDE 59 : 21 = 2 with a remainder of 17
|
| | | 0 | 2 | |
| 2 | 1 | 5 | 9 | 6 |
| | – | 0 | | |
| | | 5 | 9 | |
STEP 6: MULTIPLY 2 · 21 = 42
|
| | | 0 | 2 | |
| 2 | 1 | 5 | 9 | 6 |
| | – | 0 | | |
| | | 5 | 9 | |
| | | 4 | 2 | |
STEP 7: SUBTRACT 59 - 42 = 17
|
| | | 0 | 2 | |
| 2 | 1 | 5 | 9 | 6 |
| | – | 0 | | |
| | | 5 | 9 | |
| | – | 4 | 2 | |
| | | 1 | 7 | |
|
STEP 8: BRING DOWN
|
| | | 0 | 2 | |
| 2 | 1 | 5 | 9 | 6 |
| | – | 0 | | |
| | | 5 | 9 | |
| | – | 4 | 2 | |
| | | 1 | 7 | 6 |
STEP 9: DIVIDE 176 : 21 = 8 with a remainder of 8
|
| | | 0 | 2 | 8 |
| 2 | 1 | 5 | 9 | 6 |
| | – | 0 | | |
| | | 5 | 9 | |
| | – | 4 | 2 | |
| | | 1 | 7 | 6 |
STEP 10: MULTIPLY 8 · 21 = 168
|
| | | 0 | 2 | 8 |
| 2 | 1 | 5 | 9 | 6 |
| | – | 0 | | |
| | | 5 | 9 | |
| | – | 4 | 2 | |
| | | 1 | 7 | 6 |
| | | 1 | 6 | 8 |
STEP 11: SUBTRACT 176 - 168 = 8
|
| | | 0 | 2 | 8 |
| 2 | 1 | 5 | 9 | 6 |
| | – | 0 | | |
| | | 5 | 9 | |
| | – | 4 | 2 | |
| | | 1 | 7 | 6 |
| | – | 1 | 6 | 8 |
| | | | | 8 |
STEP 11: SUBTRACT 176 - 168 = 8
|
| | | 0 | 2 | 8 |
| 2 | 1 | 5 | 9 | 6 |
| | – | 0 | | |
| | | 5 | 9 | |
| | – | 4 | 2 | |
| | | 1 | 7 | 6 |
| | – | 1 | 6 | 8 |
| | | | | 8 |
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