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What is the quotient and remainder when $ 150 $ is divided by $ 201 $ ?
Answer
The quotient is 0 and the remainder is 150.
Explanation
Division Table
|
| | | 0 | 0 | 0 |
2 | 0 | 1 | 1 | 5 | 0 |
| | – | 0 | | |
| | | 1 | 5 | |
| | | – | 0 | |
| | | 1 | 5 | 0 |
| | | | – | 0 |
| | | 1 | 5 | 0 |
STEP 0: set up a division table
|
| | | | | |
2 | 0 | 1 | 1 | 5 | 0 |
STEP 1: DIVIDE 1 : 201 = 0 with a remainder of 1
|
| | | 0 | | |
2 | 0 | 1 | 1 | 5 | 0 |
STEP 2: MULTIPLY 0 · 201 = 0
|
| | | 0 | | |
2 | 0 | 1 | 1 | 5 | 0 |
| | | 0 | | |
STEP 3: SUBTRACT 1 - 0 = 1
|
| | | 0 | | |
2 | 0 | 1 | 1 | 5 | 0 |
| | – | 0 | | |
| | | 1 | | |
STEP 4: BRING DOWN
|
| | | 0 | | |
2 | 0 | 1 | 1 | 5 | 0 |
| | – | 0 | | |
| | | 1 | 5 | |
STEP 5: DIVIDE 15 : 201 = 0 with a remainder of 15
|
| | | 0 | 0 | |
2 | 0 | 1 | 1 | 5 | 0 |
| | – | 0 | | |
| | | 1 | 5 | |
STEP 6: MULTIPLY 0 · 201 = 0
|
| | | 0 | 0 | |
2 | 0 | 1 | 1 | 5 | 0 |
| | – | 0 | | |
| | | 1 | 5 | |
| | | | 0 | |
STEP 7: SUBTRACT 15 - 0 = 15
|
| | | 0 | 0 | |
2 | 0 | 1 | 1 | 5 | 0 |
| | – | 0 | | |
| | | 1 | 5 | |
| | | – | 0 | |
| | | 1 | 5 | |
STEP 8: BRING DOWN
|
| | | 0 | 0 | |
2 | 0 | 1 | 1 | 5 | 0 |
| | – | 0 | | |
| | | 1 | 5 | |
| | | – | 0 | |
| | | 1 | 5 | 0 |
STEP 9: DIVIDE 150 : 201 = 0 with a remainder of 150
|
| | | 0 | 0 | 0 |
2 | 0 | 1 | 1 | 5 | 0 |
| | – | 0 | | |
| | | 1 | 5 | |
| | | – | 0 | |
| | | 1 | 5 | 0 |
STEP 10: MULTIPLY 0 · 201 = 0
|
| | | 0 | 0 | 0 |
2 | 0 | 1 | 1 | 5 | 0 |
| | – | 0 | | |
| | | 1 | 5 | |
| | | – | 0 | |
| | | 1 | 5 | 0 |
| | | | | 0 |
STEP 11: SUBTRACT 150 - 0 = 150
|
| | | 0 | 0 | 0 |
2 | 0 | 1 | 1 | 5 | 0 |
| | – | 0 | | |
| | | 1 | 5 | |
| | | – | 0 | |
| | | 1 | 5 | 0 |
| | | | – | 0 |
| | | 1 | 5 | 0 |
STEP 11: SUBTRACT 150 - 0 = 150
|
| | | 0 | 0 | 0 |
2 | 0 | 1 | 1 | 5 | 0 |
| | – | 0 | | |
| | | 1 | 5 | |
| | | – | 0 | |
| | | 1 | 5 | 0 |
| | | | – | 0 |
| | | 1 | 5 | 0 |
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