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Question
What is the quotient and remainder when $ 6209 $ is divided by $ 302 $ ?
Answer
The quotient is 20 and the remainder is 169.
Explanation
|
Division Table
|
| | | | 0 | 0 | 2 | 0 |
| 3 | 0 | 2 | 6 | 2 | 0 | 9 |
| | | – | 0 | | | |
| | | | 6 | 2 | | |
| | | | – | 0 | | |
| | | | 6 | 2 | 0 | |
| | | – | 6 | 0 | 4 | |
| | | | | 1 | 6 | 9 |
| | | | | | – | 0 |
| | | | | 1 | 6 | 9 |
STEP 0: set up a division table
|
| | | | | | | |
| 3 | 0 | 2 | 6 | 2 | 0 | 9 |
STEP 1: DIVIDE 6 : 302 = 0 with a remainder of 6
|
| | | | 0 | | | |
| 3 | 0 | 2 | 6 | 2 | 0 | 9 |
STEP 2: MULTIPLY 0 · 302 = 0
|
| | | | 0 | | | |
| 3 | 0 | 2 | 6 | 2 | 0 | 9 |
| | | | 0 | | | |
STEP 3: SUBTRACT 6 - 0 = 6
|
| | | | 0 | | | |
| 3 | 0 | 2 | 6 | 2 | 0 | 9 |
| | | – | 0 | | | |
| | | | 6 | | | |
|
STEP 4: BRING DOWN
|
| | | | 0 | | | |
| 3 | 0 | 2 | 6 | 2 | 0 | 9 |
| | | – | 0 | | | |
| | | | 6 | 2 | | |
STEP 5: DIVIDE 62 : 302 = 0 with a remainder of 62
|
| | | | 0 | 0 | | |
| 3 | 0 | 2 | 6 | 2 | 0 | 9 |
| | | – | 0 | | | |
| | | | 6 | 2 | | |
STEP 6: MULTIPLY 0 · 302 = 0
|
| | | | 0 | 0 | | |
| 3 | 0 | 2 | 6 | 2 | 0 | 9 |
| | | – | 0 | | | |
| | | | 6 | 2 | | |
| | | | | 0 | | |
STEP 7: SUBTRACT 62 - 0 = 62
|
| | | | 0 | 0 | | |
| 3 | 0 | 2 | 6 | 2 | 0 | 9 |
| | | – | 0 | | | |
| | | | 6 | 2 | | |
| | | | – | 0 | | |
| | | | 6 | 2 | | |
|
STEP 8: BRING DOWN
|
| | | | 0 | 0 | | |
| 3 | 0 | 2 | 6 | 2 | 0 | 9 |
| | | – | 0 | | | |
| | | | 6 | 2 | | |
| | | | – | 0 | | |
| | | | 6 | 2 | 0 | |
STEP 9: DIVIDE 620 : 302 = 2 with a remainder of 16
|
| | | | 0 | 0 | 2 | |
| 3 | 0 | 2 | 6 | 2 | 0 | 9 |
| | | – | 0 | | | |
| | | | 6 | 2 | | |
| | | | – | 0 | | |
| | | | 6 | 2 | 0 | |
STEP 10: MULTIPLY 2 · 302 = 604
|
| | | | 0 | 0 | 2 | |
| 3 | 0 | 2 | 6 | 2 | 0 | 9 |
| | | – | 0 | | | |
| | | | 6 | 2 | | |
| | | | – | 0 | | |
| | | | 6 | 2 | 0 | |
| | | | 6 | 0 | 4 | |
STEP 11: SUBTRACT 620 - 604 = 16
|
| | | | 0 | 0 | 2 | |
| 3 | 0 | 2 | 6 | 2 | 0 | 9 |
| | | – | 0 | | | |
| | | | 6 | 2 | | |
| | | | – | 0 | | |
| | | | 6 | 2 | 0 | |
| | | – | 6 | 0 | 4 | |
| | | | | 1 | 6 | |
|
STEP 12: BRING DOWN
|
| | | | 0 | 0 | 2 | |
| 3 | 0 | 2 | 6 | 2 | 0 | 9 |
| | | – | 0 | | | |
| | | | 6 | 2 | | |
| | | | – | 0 | | |
| | | | 6 | 2 | 0 | |
| | | – | 6 | 0 | 4 | |
| | | | | 1 | 6 | 9 |
STEP 13: DIVIDE 169 : 302 = 0 with a remainder of 169
|
| | | | 0 | 0 | 2 | 0 |
| 3 | 0 | 2 | 6 | 2 | 0 | 9 |
| | | – | 0 | | | |
| | | | 6 | 2 | | |
| | | | – | 0 | | |
| | | | 6 | 2 | 0 | |
| | | – | 6 | 0 | 4 | |
| | | | | 1 | 6 | 9 |
STEP 14: MULTIPLY 0 · 302 = 0
|
| | | | 0 | 0 | 2 | 0 |
| 3 | 0 | 2 | 6 | 2 | 0 | 9 |
| | | – | 0 | | | |
| | | | 6 | 2 | | |
| | | | – | 0 | | |
| | | | 6 | 2 | 0 | |
| | | – | 6 | 0 | 4 | |
| | | | | 1 | 6 | 9 |
| | | | | | | 0 |
STEP 15: SUBTRACT 169 - 0 = 169
|
| | | | 0 | 0 | 2 | 0 |
| 3 | 0 | 2 | 6 | 2 | 0 | 9 |
| | | – | 0 | | | |
| | | | 6 | 2 | | |
| | | | – | 0 | | |
| | | | 6 | 2 | 0 | |
| | | – | 6 | 0 | 4 | |
| | | | | 1 | 6 | 9 |
| | | | | | – | 0 |
| | | | | 1 | 6 | 9 |
STEP 15: SUBTRACT 169 - 0 = 169
|
| | | | 0 | 0 | 2 | 0 |
| 3 | 0 | 2 | 6 | 2 | 0 | 9 |
| | | – | 0 | | | |
| | | | 6 | 2 | | |
| | | | – | 0 | | |
| | | | 6 | 2 | 0 | |
| | | – | 6 | 0 | 4 | |
| | | | | 1 | 6 | 9 |
| | | | | | – | 0 |
| | | | | 1 | 6 | 9 |
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