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Question
What is the quotient and remainder when $ 620 $ is divided by $ 20 $ ?
Answer
The quotient is 31 and the remainder is 0.
Explanation
Division Table
|
| | 0 | 3 | 1 |
2 | 0 | 6 | 2 | 0 |
| – | 0 | | |
| | 6 | 2 | |
| – | 6 | 0 | |
| | | 2 | 0 |
| | – | 2 | 0 |
| | | | 0 |
STEP 0: set up a division table
|
| | | | |
2 | 0 | 6 | 2 | 0 |
STEP 1: DIVIDE 6 : 20 = 0 with a remainder of 6
|
| | 0 | | |
2 | 0 | 6 | 2 | 0 |
STEP 2: MULTIPLY 0 · 20 = 0
|
| | 0 | | |
2 | 0 | 6 | 2 | 0 |
| | 0 | | |
STEP 3: SUBTRACT 6 - 0 = 6
|
| | 0 | | |
2 | 0 | 6 | 2 | 0 |
| – | 0 | | |
| | 6 | | |
STEP 4: BRING DOWN
|
| | 0 | | |
2 | 0 | 6 | 2 | 0 |
| – | 0 | | |
| | 6 | 2 | |
STEP 5: DIVIDE 62 : 20 = 3 with a remainder of 2
|
| | 0 | 3 | |
2 | 0 | 6 | 2 | 0 |
| – | 0 | | |
| | 6 | 2 | |
STEP 6: MULTIPLY 3 · 20 = 60
|
| | 0 | 3 | |
2 | 0 | 6 | 2 | 0 |
| – | 0 | | |
| | 6 | 2 | |
| | 6 | 0 | |
STEP 7: SUBTRACT 62 - 60 = 2
|
| | 0 | 3 | |
2 | 0 | 6 | 2 | 0 |
| – | 0 | | |
| | 6 | 2 | |
| – | 6 | 0 | |
| | | 2 | |
STEP 8: BRING DOWN
|
| | 0 | 3 | |
2 | 0 | 6 | 2 | 0 |
| – | 0 | | |
| | 6 | 2 | |
| – | 6 | 0 | |
| | | 2 | 0 |
STEP 9: DIVIDE 20 : 20 = 1 with a remainder of 0
|
| | 0 | 3 | 1 |
2 | 0 | 6 | 2 | 0 |
| – | 0 | | |
| | 6 | 2 | |
| – | 6 | 0 | |
| | | 2 | 0 |
STEP 10: MULTIPLY 1 · 20 = 20
|
| | 0 | 3 | 1 |
2 | 0 | 6 | 2 | 0 |
| – | 0 | | |
| | 6 | 2 | |
| – | 6 | 0 | |
| | | 2 | 0 |
| | | 2 | 0 |
STEP 11: SUBTRACT 20 - 20 = 0
|
| | 0 | 3 | 1 |
2 | 0 | 6 | 2 | 0 |
| – | 0 | | |
| | 6 | 2 | |
| – | 6 | 0 | |
| | | 2 | 0 |
| | – | 2 | 0 |
| | | | 0 |
STEP 11: SUBTRACT 20 - 20 = 0
|
| | 0 | 3 | 1 |
2 | 0 | 6 | 2 | 0 |
| – | 0 | | |
| | 6 | 2 | |
| – | 6 | 0 | |
| | | 2 | 0 |
| | – | 2 | 0 |
| | | | 0 |
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