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What is the quotient and remainder when $ 4550 $ is divided by $ 20 $ ?
Answer
The quotient is 227 and the remainder is 10.
Explanation
Division Table
|
| | 0 | 2 | 2 | 7 |
2 | 0 | 4 | 5 | 5 | 0 |
| – | 0 | | | |
| | 4 | 5 | | |
| – | 4 | 0 | | |
| | | 5 | 5 | |
| | – | 4 | 0 | |
| | | 1 | 5 | 0 |
| | – | 1 | 4 | 0 |
| | | | 1 | 0 |
STEP 0: set up a division table
|
| | | | | |
2 | 0 | 4 | 5 | 5 | 0 |
STEP 1: DIVIDE 4 : 20 = 0 with a remainder of 4
|
| | 0 | | | |
2 | 0 | 4 | 5 | 5 | 0 |
STEP 2: MULTIPLY 0 · 20 = 0
|
| | 0 | | | |
2 | 0 | 4 | 5 | 5 | 0 |
| | 0 | | | |
STEP 3: SUBTRACT 4 - 0 = 4
|
| | 0 | | | |
2 | 0 | 4 | 5 | 5 | 0 |
| – | 0 | | | |
| | 4 | | | |
STEP 4: BRING DOWN
|
| | 0 | | | |
2 | 0 | 4 | 5 | 5 | 0 |
| – | 0 | | | |
| | 4 | 5 | | |
STEP 5: DIVIDE 45 : 20 = 2 with a remainder of 5
|
| | 0 | 2 | | |
2 | 0 | 4 | 5 | 5 | 0 |
| – | 0 | | | |
| | 4 | 5 | | |
STEP 6: MULTIPLY 2 · 20 = 40
|
| | 0 | 2 | | |
2 | 0 | 4 | 5 | 5 | 0 |
| – | 0 | | | |
| | 4 | 5 | | |
| | 4 | 0 | | |
STEP 7: SUBTRACT 45 - 40 = 5
|
| | 0 | 2 | | |
2 | 0 | 4 | 5 | 5 | 0 |
| – | 0 | | | |
| | 4 | 5 | | |
| – | 4 | 0 | | |
| | | 5 | | |
STEP 8: BRING DOWN
|
| | 0 | 2 | | |
2 | 0 | 4 | 5 | 5 | 0 |
| – | 0 | | | |
| | 4 | 5 | | |
| – | 4 | 0 | | |
| | | 5 | 5 | |
STEP 9: DIVIDE 55 : 20 = 2 with a remainder of 15
|
| | 0 | 2 | 2 | |
2 | 0 | 4 | 5 | 5 | 0 |
| – | 0 | | | |
| | 4 | 5 | | |
| – | 4 | 0 | | |
| | | 5 | 5 | |
STEP 10: MULTIPLY 2 · 20 = 40
|
| | 0 | 2 | 2 | |
2 | 0 | 4 | 5 | 5 | 0 |
| – | 0 | | | |
| | 4 | 5 | | |
| – | 4 | 0 | | |
| | | 5 | 5 | |
| | | 4 | 0 | |
STEP 11: SUBTRACT 55 - 40 = 15
|
| | 0 | 2 | 2 | |
2 | 0 | 4 | 5 | 5 | 0 |
| – | 0 | | | |
| | 4 | 5 | | |
| – | 4 | 0 | | |
| | | 5 | 5 | |
| | – | 4 | 0 | |
| | | 1 | 5 | |
STEP 12: BRING DOWN
|
| | 0 | 2 | 2 | |
2 | 0 | 4 | 5 | 5 | 0 |
| – | 0 | | | |
| | 4 | 5 | | |
| – | 4 | 0 | | |
| | | 5 | 5 | |
| | – | 4 | 0 | |
| | | 1 | 5 | 0 |
STEP 13: DIVIDE 150 : 20 = 7 with a remainder of 10
|
| | 0 | 2 | 2 | 7 |
2 | 0 | 4 | 5 | 5 | 0 |
| – | 0 | | | |
| | 4 | 5 | | |
| – | 4 | 0 | | |
| | | 5 | 5 | |
| | – | 4 | 0 | |
| | | 1 | 5 | 0 |
STEP 14: MULTIPLY 7 · 20 = 140
|
| | 0 | 2 | 2 | 7 |
2 | 0 | 4 | 5 | 5 | 0 |
| – | 0 | | | |
| | 4 | 5 | | |
| – | 4 | 0 | | |
| | | 5 | 5 | |
| | – | 4 | 0 | |
| | | 1 | 5 | 0 |
| | | 1 | 4 | 0 |
STEP 15: SUBTRACT 150 - 140 = 10
|
| | 0 | 2 | 2 | 7 |
2 | 0 | 4 | 5 | 5 | 0 |
| – | 0 | | | |
| | 4 | 5 | | |
| – | 4 | 0 | | |
| | | 5 | 5 | |
| | – | 4 | 0 | |
| | | 1 | 5 | 0 |
| | – | 1 | 4 | 0 |
| | | | 1 | 0 |
STEP 15: SUBTRACT 150 - 140 = 10
|
| | 0 | 2 | 2 | 7 |
2 | 0 | 4 | 5 | 5 | 0 |
| – | 0 | | | |
| | 4 | 5 | | |
| – | 4 | 0 | | |
| | | 5 | 5 | |
| | – | 4 | 0 | |
| | | 1 | 5 | 0 |
| | – | 1 | 4 | 0 |
| | | | 1 | 0 |
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