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What is the quotient and remainder when $ 9346 $ is divided by $ 45 $ ?
Answer
The quotient is 207 and the remainder is 31.
Explanation
Division Table
|
| | 0 | 2 | 0 | 7 |
4 | 5 | 9 | 3 | 4 | 6 |
| – | 0 | | | |
| | 9 | 3 | | |
| – | 9 | 0 | | |
| | | 3 | 4 | |
| | | – | 0 | |
| | | 3 | 4 | 6 |
| | – | 3 | 1 | 5 |
| | | | 3 | 1 |
STEP 0: set up a division table
|
| | | | | |
4 | 5 | 9 | 3 | 4 | 6 |
STEP 1: DIVIDE 9 : 45 = 0 with a remainder of 9
|
| | 0 | | | |
4 | 5 | 9 | 3 | 4 | 6 |
STEP 2: MULTIPLY 0 · 45 = 0
|
| | 0 | | | |
4 | 5 | 9 | 3 | 4 | 6 |
| | 0 | | | |
STEP 3: SUBTRACT 9 - 0 = 9
|
| | 0 | | | |
4 | 5 | 9 | 3 | 4 | 6 |
| – | 0 | | | |
| | 9 | | | |
STEP 4: BRING DOWN
|
| | 0 | | | |
4 | 5 | 9 | 3 | 4 | 6 |
| – | 0 | | | |
| | 9 | 3 | | |
STEP 5: DIVIDE 93 : 45 = 2 with a remainder of 3
|
| | 0 | 2 | | |
4 | 5 | 9 | 3 | 4 | 6 |
| – | 0 | | | |
| | 9 | 3 | | |
STEP 6: MULTIPLY 2 · 45 = 90
|
| | 0 | 2 | | |
4 | 5 | 9 | 3 | 4 | 6 |
| – | 0 | | | |
| | 9 | 3 | | |
| | 9 | 0 | | |
STEP 7: SUBTRACT 93 - 90 = 3
|
| | 0 | 2 | | |
4 | 5 | 9 | 3 | 4 | 6 |
| – | 0 | | | |
| | 9 | 3 | | |
| – | 9 | 0 | | |
| | | 3 | | |
STEP 8: BRING DOWN
|
| | 0 | 2 | | |
4 | 5 | 9 | 3 | 4 | 6 |
| – | 0 | | | |
| | 9 | 3 | | |
| – | 9 | 0 | | |
| | | 3 | 4 | |
STEP 9: DIVIDE 34 : 45 = 0 with a remainder of 34
|
| | 0 | 2 | 0 | |
4 | 5 | 9 | 3 | 4 | 6 |
| – | 0 | | | |
| | 9 | 3 | | |
| – | 9 | 0 | | |
| | | 3 | 4 | |
STEP 10: MULTIPLY 0 · 45 = 0
|
| | 0 | 2 | 0 | |
4 | 5 | 9 | 3 | 4 | 6 |
| – | 0 | | | |
| | 9 | 3 | | |
| – | 9 | 0 | | |
| | | 3 | 4 | |
| | | | 0 | |
STEP 11: SUBTRACT 34 - 0 = 34
|
| | 0 | 2 | 0 | |
4 | 5 | 9 | 3 | 4 | 6 |
| – | 0 | | | |
| | 9 | 3 | | |
| – | 9 | 0 | | |
| | | 3 | 4 | |
| | | – | 0 | |
| | | 3 | 4 | |
STEP 12: BRING DOWN
|
| | 0 | 2 | 0 | |
4 | 5 | 9 | 3 | 4 | 6 |
| – | 0 | | | |
| | 9 | 3 | | |
| – | 9 | 0 | | |
| | | 3 | 4 | |
| | | – | 0 | |
| | | 3 | 4 | 6 |
STEP 13: DIVIDE 346 : 45 = 7 with a remainder of 31
|
| | 0 | 2 | 0 | 7 |
4 | 5 | 9 | 3 | 4 | 6 |
| – | 0 | | | |
| | 9 | 3 | | |
| – | 9 | 0 | | |
| | | 3 | 4 | |
| | | – | 0 | |
| | | 3 | 4 | 6 |
STEP 14: MULTIPLY 7 · 45 = 315
|
| | 0 | 2 | 0 | 7 |
4 | 5 | 9 | 3 | 4 | 6 |
| – | 0 | | | |
| | 9 | 3 | | |
| – | 9 | 0 | | |
| | | 3 | 4 | |
| | | – | 0 | |
| | | 3 | 4 | 6 |
| | | 3 | 1 | 5 |
STEP 15: SUBTRACT 346 - 315 = 31
|
| | 0 | 2 | 0 | 7 |
4 | 5 | 9 | 3 | 4 | 6 |
| – | 0 | | | |
| | 9 | 3 | | |
| – | 9 | 0 | | |
| | | 3 | 4 | |
| | | – | 0 | |
| | | 3 | 4 | 6 |
| | – | 3 | 1 | 5 |
| | | | 3 | 1 |
STEP 15: SUBTRACT 346 - 315 = 31
|
| | 0 | 2 | 0 | 7 |
4 | 5 | 9 | 3 | 4 | 6 |
| – | 0 | | | |
| | 9 | 3 | | |
| – | 9 | 0 | | |
| | | 3 | 4 | |
| | | – | 0 | |
| | | 3 | 4 | 6 |
| | – | 3 | 1 | 5 |
| | | | 3 | 1 |
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