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Question
What is the quotient and remainder when $ 3697 $ is divided by $ 154 $ ?
Answer
The quotient is 24 and the remainder is 1.
Explanation
Division Table
|
| | | 0 | 0 | 2 | 4 |
1 | 5 | 4 | 3 | 6 | 9 | 7 |
| | – | 0 | | | |
| | | 3 | 6 | | |
| | | – | 0 | | |
| | | 3 | 6 | 9 | |
| | – | 3 | 0 | 8 | |
| | | | 6 | 1 | 7 |
| | | – | 6 | 1 | 6 |
| | | | | | 1 |
STEP 0: set up a division table
|
| | | | | | |
1 | 5 | 4 | 3 | 6 | 9 | 7 |
STEP 1: DIVIDE 3 : 154 = 0 with a remainder of 3
|
| | | 0 | | | |
1 | 5 | 4 | 3 | 6 | 9 | 7 |
STEP 2: MULTIPLY 0 · 154 = 0
|
| | | 0 | | | |
1 | 5 | 4 | 3 | 6 | 9 | 7 |
| | | 0 | | | |
STEP 3: SUBTRACT 3 - 0 = 3
|
| | | 0 | | | |
1 | 5 | 4 | 3 | 6 | 9 | 7 |
| | – | 0 | | | |
| | | 3 | | | |
STEP 4: BRING DOWN
|
| | | 0 | | | |
1 | 5 | 4 | 3 | 6 | 9 | 7 |
| | – | 0 | | | |
| | | 3 | 6 | | |
STEP 5: DIVIDE 36 : 154 = 0 with a remainder of 36
|
| | | 0 | 0 | | |
1 | 5 | 4 | 3 | 6 | 9 | 7 |
| | – | 0 | | | |
| | | 3 | 6 | | |
STEP 6: MULTIPLY 0 · 154 = 0
|
| | | 0 | 0 | | |
1 | 5 | 4 | 3 | 6 | 9 | 7 |
| | – | 0 | | | |
| | | 3 | 6 | | |
| | | | 0 | | |
STEP 7: SUBTRACT 36 - 0 = 36
|
| | | 0 | 0 | | |
1 | 5 | 4 | 3 | 6 | 9 | 7 |
| | – | 0 | | | |
| | | 3 | 6 | | |
| | | – | 0 | | |
| | | 3 | 6 | | |
STEP 8: BRING DOWN
|
| | | 0 | 0 | | |
1 | 5 | 4 | 3 | 6 | 9 | 7 |
| | – | 0 | | | |
| | | 3 | 6 | | |
| | | – | 0 | | |
| | | 3 | 6 | 9 | |
STEP 9: DIVIDE 369 : 154 = 2 with a remainder of 61
|
| | | 0 | 0 | 2 | |
1 | 5 | 4 | 3 | 6 | 9 | 7 |
| | – | 0 | | | |
| | | 3 | 6 | | |
| | | – | 0 | | |
| | | 3 | 6 | 9 | |
STEP 10: MULTIPLY 2 · 154 = 308
|
| | | 0 | 0 | 2 | |
1 | 5 | 4 | 3 | 6 | 9 | 7 |
| | – | 0 | | | |
| | | 3 | 6 | | |
| | | – | 0 | | |
| | | 3 | 6 | 9 | |
| | | 3 | 0 | 8 | |
STEP 11: SUBTRACT 369 - 308 = 61
|
| | | 0 | 0 | 2 | |
1 | 5 | 4 | 3 | 6 | 9 | 7 |
| | – | 0 | | | |
| | | 3 | 6 | | |
| | | – | 0 | | |
| | | 3 | 6 | 9 | |
| | – | 3 | 0 | 8 | |
| | | | 6 | 1 | |
STEP 12: BRING DOWN
|
| | | 0 | 0 | 2 | |
1 | 5 | 4 | 3 | 6 | 9 | 7 |
| | – | 0 | | | |
| | | 3 | 6 | | |
| | | – | 0 | | |
| | | 3 | 6 | 9 | |
| | – | 3 | 0 | 8 | |
| | | | 6 | 1 | 7 |
STEP 13: DIVIDE 617 : 154 = 4 with a remainder of 1
|
| | | 0 | 0 | 2 | 4 |
1 | 5 | 4 | 3 | 6 | 9 | 7 |
| | – | 0 | | | |
| | | 3 | 6 | | |
| | | – | 0 | | |
| | | 3 | 6 | 9 | |
| | – | 3 | 0 | 8 | |
| | | | 6 | 1 | 7 |
STEP 14: MULTIPLY 4 · 154 = 616
|
| | | 0 | 0 | 2 | 4 |
1 | 5 | 4 | 3 | 6 | 9 | 7 |
| | – | 0 | | | |
| | | 3 | 6 | | |
| | | – | 0 | | |
| | | 3 | 6 | 9 | |
| | – | 3 | 0 | 8 | |
| | | | 6 | 1 | 7 |
| | | | 6 | 1 | 6 |
STEP 15: SUBTRACT 617 - 616 = 1
|
| | | 0 | 0 | 2 | 4 |
1 | 5 | 4 | 3 | 6 | 9 | 7 |
| | – | 0 | | | |
| | | 3 | 6 | | |
| | | – | 0 | | |
| | | 3 | 6 | 9 | |
| | – | 3 | 0 | 8 | |
| | | | 6 | 1 | 7 |
| | | – | 6 | 1 | 6 |
| | | | | | 1 |
STEP 15: SUBTRACT 617 - 616 = 1
|
| | | 0 | 0 | 2 | 4 |
1 | 5 | 4 | 3 | 6 | 9 | 7 |
| | – | 0 | | | |
| | | 3 | 6 | | |
| | | – | 0 | | |
| | | 3 | 6 | 9 | |
| | – | 3 | 0 | 8 | |
| | | | 6 | 1 | 7 |
| | | – | 6 | 1 | 6 |
| | | | | | 1 |
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