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Question
What is the quotient and remainder when $ 500 $ is divided by $ 29 $ ?
Answer
The quotient is 17 and the remainder is 7.
Explanation
|
Division Table
|
| | | 0 | 1 | 7 |
| 2 | 9 | 5 | 0 | 0 |
| | – | 0 | | |
| | | 5 | 0 | |
| | – | 2 | 9 | |
| | | 2 | 1 | 0 |
| | – | 2 | 0 | 3 |
| | | | | 7 |
STEP 0: set up a division table
|
| | | | | |
| 2 | 9 | 5 | 0 | 0 |
STEP 1: DIVIDE 5 : 29 = 0 with a remainder of 5
|
| | | 0 | | |
| 2 | 9 | 5 | 0 | 0 |
STEP 2: MULTIPLY 0 · 29 = 0
|
| | | 0 | | |
| 2 | 9 | 5 | 0 | 0 |
| | | 0 | | |
STEP 3: SUBTRACT 5 - 0 = 5
|
| | | 0 | | |
| 2 | 9 | 5 | 0 | 0 |
| | – | 0 | | |
| | | 5 | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | |
| 2 | 9 | 5 | 0 | 0 |
| | – | 0 | | |
| | | 5 | 0 | |
STEP 5: DIVIDE 50 : 29 = 1 with a remainder of 21
|
| | | 0 | 1 | |
| 2 | 9 | 5 | 0 | 0 |
| | – | 0 | | |
| | | 5 | 0 | |
STEP 6: MULTIPLY 1 · 29 = 29
|
| | | 0 | 1 | |
| 2 | 9 | 5 | 0 | 0 |
| | – | 0 | | |
| | | 5 | 0 | |
| | | 2 | 9 | |
STEP 7: SUBTRACT 50 - 29 = 21
|
| | | 0 | 1 | |
| 2 | 9 | 5 | 0 | 0 |
| | – | 0 | | |
| | | 5 | 0 | |
| | – | 2 | 9 | |
| | | 2 | 1 | |
|
STEP 8: BRING DOWN
|
| | | 0 | 1 | |
| 2 | 9 | 5 | 0 | 0 |
| | – | 0 | | |
| | | 5 | 0 | |
| | – | 2 | 9 | |
| | | 2 | 1 | 0 |
STEP 9: DIVIDE 210 : 29 = 7 with a remainder of 7
|
| | | 0 | 1 | 7 |
| 2 | 9 | 5 | 0 | 0 |
| | – | 0 | | |
| | | 5 | 0 | |
| | – | 2 | 9 | |
| | | 2 | 1 | 0 |
STEP 10: MULTIPLY 7 · 29 = 203
|
| | | 0 | 1 | 7 |
| 2 | 9 | 5 | 0 | 0 |
| | – | 0 | | |
| | | 5 | 0 | |
| | – | 2 | 9 | |
| | | 2 | 1 | 0 |
| | | 2 | 0 | 3 |
STEP 11: SUBTRACT 210 - 203 = 7
|
| | | 0 | 1 | 7 |
| 2 | 9 | 5 | 0 | 0 |
| | – | 0 | | |
| | | 5 | 0 | |
| | – | 2 | 9 | |
| | | 2 | 1 | 0 |
| | – | 2 | 0 | 3 |
| | | | | 7 |
STEP 11: SUBTRACT 210 - 203 = 7
|
| | | 0 | 1 | 7 |
| 2 | 9 | 5 | 0 | 0 |
| | – | 0 | | |
| | | 5 | 0 | |
| | – | 2 | 9 | |
| | | 2 | 1 | 0 |
| | – | 2 | 0 | 3 |
| | | | | 7 |
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