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Question
What is the quotient and remainder when $ 165 $ is divided by $ 1859 $ ?
Answer
The quotient is 0 and the remainder is 165.
Explanation
Division Table
|
| | | | 0 | 0 | 0 |
1 | 8 | 5 | 9 | 1 | 6 | 5 |
| | | – | 0 | | |
| | | | 1 | 6 | |
| | | | – | 0 | |
| | | | 1 | 6 | 5 |
| | | | | – | 0 |
| | | | 1 | 6 | 5 |
STEP 0: set up a division table
|
| | | | | | |
1 | 8 | 5 | 9 | 1 | 6 | 5 |
STEP 1: DIVIDE 1 : 1859 = 0 with a remainder of 1
|
| | | | 0 | | |
1 | 8 | 5 | 9 | 1 | 6 | 5 |
STEP 2: MULTIPLY 0 · 1859 = 0
|
| | | | 0 | | |
1 | 8 | 5 | 9 | 1 | 6 | 5 |
| | | | 0 | | |
STEP 3: SUBTRACT 1 - 0 = 1
|
| | | | 0 | | |
1 | 8 | 5 | 9 | 1 | 6 | 5 |
| | | – | 0 | | |
| | | | 1 | | |
STEP 4: BRING DOWN
|
| | | | 0 | | |
1 | 8 | 5 | 9 | 1 | 6 | 5 |
| | | – | 0 | | |
| | | | 1 | 6 | |
STEP 5: DIVIDE 16 : 1859 = 0 with a remainder of 16
|
| | | | 0 | 0 | |
1 | 8 | 5 | 9 | 1 | 6 | 5 |
| | | – | 0 | | |
| | | | 1 | 6 | |
STEP 6: MULTIPLY 0 · 1859 = 0
|
| | | | 0 | 0 | |
1 | 8 | 5 | 9 | 1 | 6 | 5 |
| | | – | 0 | | |
| | | | 1 | 6 | |
| | | | | 0 | |
STEP 7: SUBTRACT 16 - 0 = 16
|
| | | | 0 | 0 | |
1 | 8 | 5 | 9 | 1 | 6 | 5 |
| | | – | 0 | | |
| | | | 1 | 6 | |
| | | | – | 0 | |
| | | | 1 | 6 | |
STEP 8: BRING DOWN
|
| | | | 0 | 0 | |
1 | 8 | 5 | 9 | 1 | 6 | 5 |
| | | – | 0 | | |
| | | | 1 | 6 | |
| | | | – | 0 | |
| | | | 1 | 6 | 5 |
STEP 9: DIVIDE 165 : 1859 = 0 with a remainder of 165
|
| | | | 0 | 0 | 0 |
1 | 8 | 5 | 9 | 1 | 6 | 5 |
| | | – | 0 | | |
| | | | 1 | 6 | |
| | | | – | 0 | |
| | | | 1 | 6 | 5 |
STEP 10: MULTIPLY 0 · 1859 = 0
|
| | | | 0 | 0 | 0 |
1 | 8 | 5 | 9 | 1 | 6 | 5 |
| | | – | 0 | | |
| | | | 1 | 6 | |
| | | | – | 0 | |
| | | | 1 | 6 | 5 |
| | | | | | 0 |
STEP 11: SUBTRACT 165 - 0 = 165
|
| | | | 0 | 0 | 0 |
1 | 8 | 5 | 9 | 1 | 6 | 5 |
| | | – | 0 | | |
| | | | 1 | 6 | |
| | | | – | 0 | |
| | | | 1 | 6 | 5 |
| | | | | – | 0 |
| | | | 1 | 6 | 5 |
STEP 11: SUBTRACT 165 - 0 = 165
|
| | | | 0 | 0 | 0 |
1 | 8 | 5 | 9 | 1 | 6 | 5 |
| | | – | 0 | | |
| | | | 1 | 6 | |
| | | | – | 0 | |
| | | | 1 | 6 | 5 |
| | | | | – | 0 |
| | | | 1 | 6 | 5 |
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