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Question
What is the quotient and remainder when $ 161 $ is divided by $ 2383 $ ?
Answer
The quotient is 0 and the remainder is 161.
Explanation
Division Table
|
| | | | 0 | 0 | 0 |
2 | 3 | 8 | 3 | 1 | 6 | 1 |
| | | – | 0 | | |
| | | | 1 | 6 | |
| | | | – | 0 | |
| | | | 1 | 6 | 1 |
| | | | | – | 0 |
| | | | 1 | 6 | 1 |
STEP 0: set up a division table
|
| | | | | | |
2 | 3 | 8 | 3 | 1 | 6 | 1 |
STEP 1: DIVIDE 1 : 2383 = 0 with a remainder of 1
|
| | | | 0 | | |
2 | 3 | 8 | 3 | 1 | 6 | 1 |
STEP 2: MULTIPLY 0 · 2383 = 0
|
| | | | 0 | | |
2 | 3 | 8 | 3 | 1 | 6 | 1 |
| | | | 0 | | |
STEP 3: SUBTRACT 1 - 0 = 1
|
| | | | 0 | | |
2 | 3 | 8 | 3 | 1 | 6 | 1 |
| | | – | 0 | | |
| | | | 1 | | |
STEP 4: BRING DOWN
|
| | | | 0 | | |
2 | 3 | 8 | 3 | 1 | 6 | 1 |
| | | – | 0 | | |
| | | | 1 | 6 | |
STEP 5: DIVIDE 16 : 2383 = 0 with a remainder of 16
|
| | | | 0 | 0 | |
2 | 3 | 8 | 3 | 1 | 6 | 1 |
| | | – | 0 | | |
| | | | 1 | 6 | |
STEP 6: MULTIPLY 0 · 2383 = 0
|
| | | | 0 | 0 | |
2 | 3 | 8 | 3 | 1 | 6 | 1 |
| | | – | 0 | | |
| | | | 1 | 6 | |
| | | | | 0 | |
STEP 7: SUBTRACT 16 - 0 = 16
|
| | | | 0 | 0 | |
2 | 3 | 8 | 3 | 1 | 6 | 1 |
| | | – | 0 | | |
| | | | 1 | 6 | |
| | | | – | 0 | |
| | | | 1 | 6 | |
STEP 8: BRING DOWN
|
| | | | 0 | 0 | |
2 | 3 | 8 | 3 | 1 | 6 | 1 |
| | | – | 0 | | |
| | | | 1 | 6 | |
| | | | – | 0 | |
| | | | 1 | 6 | 1 |
STEP 9: DIVIDE 161 : 2383 = 0 with a remainder of 161
|
| | | | 0 | 0 | 0 |
2 | 3 | 8 | 3 | 1 | 6 | 1 |
| | | – | 0 | | |
| | | | 1 | 6 | |
| | | | – | 0 | |
| | | | 1 | 6 | 1 |
STEP 10: MULTIPLY 0 · 2383 = 0
|
| | | | 0 | 0 | 0 |
2 | 3 | 8 | 3 | 1 | 6 | 1 |
| | | – | 0 | | |
| | | | 1 | 6 | |
| | | | – | 0 | |
| | | | 1 | 6 | 1 |
| | | | | | 0 |
STEP 11: SUBTRACT 161 - 0 = 161
|
| | | | 0 | 0 | 0 |
2 | 3 | 8 | 3 | 1 | 6 | 1 |
| | | – | 0 | | |
| | | | 1 | 6 | |
| | | | – | 0 | |
| | | | 1 | 6 | 1 |
| | | | | – | 0 |
| | | | 1 | 6 | 1 |
STEP 11: SUBTRACT 161 - 0 = 161
|
| | | | 0 | 0 | 0 |
2 | 3 | 8 | 3 | 1 | 6 | 1 |
| | | – | 0 | | |
| | | | 1 | 6 | |
| | | | – | 0 | |
| | | | 1 | 6 | 1 |
| | | | | – | 0 |
| | | | 1 | 6 | 1 |
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