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Question
What is the quotient and remainder when $ 3000 $ is divided by $ 20 $ ?
Answer
The quotient is 150 and the remainder is 0.
Explanation
|
Division Table
|
| | | 0 | 1 | 5 | 0 |
| 2 | 0 | 3 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 3 | 0 | | |
| | – | 2 | 0 | | |
| | | 1 | 0 | 0 | |
| | – | 1 | 0 | 0 | |
| | | | | 0 | |
| | | | – | 0 | |
| | | | | 0 | |
STEP 0: set up a division table
|
| | | | | | |
| 2 | 0 | 3 | 0 | 0 | 0 |
STEP 1: DIVIDE 3 : 20 = 0 with a remainder of 3
|
| | | 0 | | | |
| 2 | 0 | 3 | 0 | 0 | 0 |
STEP 2: MULTIPLY 0 · 20 = 0
|
| | | 0 | | | |
| 2 | 0 | 3 | 0 | 0 | 0 |
| | | 0 | | | |
STEP 3: SUBTRACT 3 - 0 = 3
|
| | | 0 | | | |
| 2 | 0 | 3 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 3 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 2 | 0 | 3 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 3 | 0 | | |
STEP 5: DIVIDE 30 : 20 = 1 with a remainder of 10
|
| | | 0 | 1 | | |
| 2 | 0 | 3 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 3 | 0 | | |
STEP 6: MULTIPLY 1 · 20 = 20
|
| | | 0 | 1 | | |
| 2 | 0 | 3 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 3 | 0 | | |
| | | 2 | 0 | | |
STEP 7: SUBTRACT 30 - 20 = 10
|
| | | 0 | 1 | | |
| 2 | 0 | 3 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 3 | 0 | | |
| | – | 2 | 0 | | |
| | | 1 | 0 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 1 | | |
| 2 | 0 | 3 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 3 | 0 | | |
| | – | 2 | 0 | | |
| | | 1 | 0 | 0 | |
STEP 9: DIVIDE 100 : 20 = 5 with a remainder of 0
|
| | | 0 | 1 | 5 | |
| 2 | 0 | 3 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 3 | 0 | | |
| | – | 2 | 0 | | |
| | | 1 | 0 | 0 | |
STEP 10: MULTIPLY 5 · 20 = 100
|
| | | 0 | 1 | 5 | |
| 2 | 0 | 3 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 3 | 0 | | |
| | – | 2 | 0 | | |
| | | 1 | 0 | 0 | |
| | | 1 | 0 | 0 | |
STEP 11: SUBTRACT 100 - 100 = 0
|
| | | 0 | 1 | 5 | |
| 2 | 0 | 3 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 3 | 0 | | |
| | – | 2 | 0 | | |
| | | 1 | 0 | 0 | |
| | – | 1 | 0 | 0 | |
| | | | | 0 | |
|
STEP 12: BRING DOWN
|
| | | 0 | 1 | 5 | |
| 2 | 0 | 3 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 3 | 0 | | |
| | – | 2 | 0 | | |
| | | 1 | 0 | 0 | |
| | – | 1 | 0 | 0 | |
| | | | | 0 | |
STEP 13: DIVIDE 0 : 20 = 0 with a remainder of 0
|
| | | 0 | 1 | 5 | 0 |
| 2 | 0 | 3 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 3 | 0 | | |
| | – | 2 | 0 | | |
| | | 1 | 0 | 0 | |
| | – | 1 | 0 | 0 | |
| | | | | 0 | |
STEP 14: MULTIPLY 0 · 20 = 0
|
| | | 0 | 1 | 5 | 0 |
| 2 | 0 | 3 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 3 | 0 | | |
| | – | 2 | 0 | | |
| | | 1 | 0 | 0 | |
| | – | 1 | 0 | 0 | |
| | | | | 0 | |
| | | | | 0 | |
STEP 15: SUBTRACT 0 - 0 = 0
|
| | | 0 | 1 | 5 | 0 |
| 2 | 0 | 3 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 3 | 0 | | |
| | – | 2 | 0 | | |
| | | 1 | 0 | 0 | |
| | – | 1 | 0 | 0 | |
| | | | | 0 | |
| | | | – | 0 | |
| | | | | 0 | |
STEP 15: SUBTRACT 0 - 0 = 0
|
| | | 0 | 1 | 5 | 0 |
| 2 | 0 | 3 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 3 | 0 | | |
| | – | 2 | 0 | | |
| | | 1 | 0 | 0 | |
| | – | 1 | 0 | 0 | |
| | | | | 0 | |
| | | | – | 0 | |
| | | | | 0 | |
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