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Question
What is the quotient and remainder when $ 2698 $ is divided by $ 220 $ ?
Answer
The quotient is 12 and the remainder is 58.
Explanation
|
Division Table
|
| | | | 0 | 0 | 1 | 2 |
| 2 | 2 | 0 | 2 | 6 | 9 | 8 |
| | | – | 0 | | | |
| | | | 2 | 6 | | |
| | | | – | 0 | | |
| | | | 2 | 6 | 9 | |
| | | – | 2 | 2 | 0 | |
| | | | | 4 | 9 | 8 |
| | | | – | 4 | 4 | 0 |
| | | | | | 5 | 8 |
STEP 0: set up a division table
|
| | | | | | | |
| 2 | 2 | 0 | 2 | 6 | 9 | 8 |
STEP 1: DIVIDE 2 : 220 = 0 with a remainder of 2
|
| | | | 0 | | | |
| 2 | 2 | 0 | 2 | 6 | 9 | 8 |
STEP 2: MULTIPLY 0 · 220 = 0
|
| | | | 0 | | | |
| 2 | 2 | 0 | 2 | 6 | 9 | 8 |
| | | | 0 | | | |
STEP 3: SUBTRACT 2 - 0 = 2
|
| | | | 0 | | | |
| 2 | 2 | 0 | 2 | 6 | 9 | 8 |
| | | – | 0 | | | |
| | | | 2 | | | |
|
STEP 4: BRING DOWN
|
| | | | 0 | | | |
| 2 | 2 | 0 | 2 | 6 | 9 | 8 |
| | | – | 0 | | | |
| | | | 2 | 6 | | |
STEP 5: DIVIDE 26 : 220 = 0 with a remainder of 26
|
| | | | 0 | 0 | | |
| 2 | 2 | 0 | 2 | 6 | 9 | 8 |
| | | – | 0 | | | |
| | | | 2 | 6 | | |
STEP 6: MULTIPLY 0 · 220 = 0
|
| | | | 0 | 0 | | |
| 2 | 2 | 0 | 2 | 6 | 9 | 8 |
| | | – | 0 | | | |
| | | | 2 | 6 | | |
| | | | | 0 | | |
STEP 7: SUBTRACT 26 - 0 = 26
|
| | | | 0 | 0 | | |
| 2 | 2 | 0 | 2 | 6 | 9 | 8 |
| | | – | 0 | | | |
| | | | 2 | 6 | | |
| | | | – | 0 | | |
| | | | 2 | 6 | | |
|
STEP 8: BRING DOWN
|
| | | | 0 | 0 | | |
| 2 | 2 | 0 | 2 | 6 | 9 | 8 |
| | | – | 0 | | | |
| | | | 2 | 6 | | |
| | | | – | 0 | | |
| | | | 2 | 6 | 9 | |
STEP 9: DIVIDE 269 : 220 = 1 with a remainder of 49
|
| | | | 0 | 0 | 1 | |
| 2 | 2 | 0 | 2 | 6 | 9 | 8 |
| | | – | 0 | | | |
| | | | 2 | 6 | | |
| | | | – | 0 | | |
| | | | 2 | 6 | 9 | |
STEP 10: MULTIPLY 1 · 220 = 220
|
| | | | 0 | 0 | 1 | |
| 2 | 2 | 0 | 2 | 6 | 9 | 8 |
| | | – | 0 | | | |
| | | | 2 | 6 | | |
| | | | – | 0 | | |
| | | | 2 | 6 | 9 | |
| | | | 2 | 2 | 0 | |
STEP 11: SUBTRACT 269 - 220 = 49
|
| | | | 0 | 0 | 1 | |
| 2 | 2 | 0 | 2 | 6 | 9 | 8 |
| | | – | 0 | | | |
| | | | 2 | 6 | | |
| | | | – | 0 | | |
| | | | 2 | 6 | 9 | |
| | | – | 2 | 2 | 0 | |
| | | | | 4 | 9 | |
|
STEP 12: BRING DOWN
|
| | | | 0 | 0 | 1 | |
| 2 | 2 | 0 | 2 | 6 | 9 | 8 |
| | | – | 0 | | | |
| | | | 2 | 6 | | |
| | | | – | 0 | | |
| | | | 2 | 6 | 9 | |
| | | – | 2 | 2 | 0 | |
| | | | | 4 | 9 | 8 |
STEP 13: DIVIDE 498 : 220 = 2 with a remainder of 58
|
| | | | 0 | 0 | 1 | 2 |
| 2 | 2 | 0 | 2 | 6 | 9 | 8 |
| | | – | 0 | | | |
| | | | 2 | 6 | | |
| | | | – | 0 | | |
| | | | 2 | 6 | 9 | |
| | | – | 2 | 2 | 0 | |
| | | | | 4 | 9 | 8 |
STEP 14: MULTIPLY 2 · 220 = 440
|
| | | | 0 | 0 | 1 | 2 |
| 2 | 2 | 0 | 2 | 6 | 9 | 8 |
| | | – | 0 | | | |
| | | | 2 | 6 | | |
| | | | – | 0 | | |
| | | | 2 | 6 | 9 | |
| | | – | 2 | 2 | 0 | |
| | | | | 4 | 9 | 8 |
| | | | | 4 | 4 | 0 |
STEP 15: SUBTRACT 498 - 440 = 58
|
| | | | 0 | 0 | 1 | 2 |
| 2 | 2 | 0 | 2 | 6 | 9 | 8 |
| | | – | 0 | | | |
| | | | 2 | 6 | | |
| | | | – | 0 | | |
| | | | 2 | 6 | 9 | |
| | | – | 2 | 2 | 0 | |
| | | | | 4 | 9 | 8 |
| | | | – | 4 | 4 | 0 |
| | | | | | 5 | 8 |
STEP 15: SUBTRACT 498 - 440 = 58
|
| | | | 0 | 0 | 1 | 2 |
| 2 | 2 | 0 | 2 | 6 | 9 | 8 |
| | | – | 0 | | | |
| | | | 2 | 6 | | |
| | | | – | 0 | | |
| | | | 2 | 6 | 9 | |
| | | – | 2 | 2 | 0 | |
| | | | | 4 | 9 | 8 |
| | | | – | 4 | 4 | 0 |
| | | | | | 5 | 8 |
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