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What is the quotient and remainder when $ 46225 $ is divided by $ 43 $ ?
Answer
The quotient is 1075 and the remainder is 0.
Explanation
Division Table
|
| | 0 | 1 | 0 | 7 | 5 |
4 | 3 | 4 | 6 | 2 | 2 | 5 |
| – | 0 | | | | |
| | 4 | 6 | | | |
| – | 4 | 3 | | | |
| | | 3 | 2 | | |
| | | – | 0 | | |
| | | 3 | 2 | 2 | |
| | – | 3 | 0 | 1 | |
| | | | 2 | 1 | 5 |
| | | – | 2 | 1 | 5 |
| | | | | | 0 |
STEP 0: set up a division table
|
| | | | | | |
4 | 3 | 4 | 6 | 2 | 2 | 5 |
STEP 1: DIVIDE 4 : 43 = 0 with a remainder of 4
|
| | 0 | | | | |
4 | 3 | 4 | 6 | 2 | 2 | 5 |
STEP 2: MULTIPLY 0 · 43 = 0
|
| | 0 | | | | |
4 | 3 | 4 | 6 | 2 | 2 | 5 |
| | 0 | | | | |
STEP 3: SUBTRACT 4 - 0 = 4
|
| | 0 | | | | |
4 | 3 | 4 | 6 | 2 | 2 | 5 |
| – | 0 | | | | |
| | 4 | | | | |
STEP 4: BRING DOWN
|
| | 0 | | | | |
4 | 3 | 4 | 6 | 2 | 2 | 5 |
| – | 0 | | | | |
| | 4 | 6 | | | |
STEP 5: DIVIDE 46 : 43 = 1 with a remainder of 3
|
| | 0 | 1 | | | |
4 | 3 | 4 | 6 | 2 | 2 | 5 |
| – | 0 | | | | |
| | 4 | 6 | | | |
STEP 6: MULTIPLY 1 · 43 = 43
|
| | 0 | 1 | | | |
4 | 3 | 4 | 6 | 2 | 2 | 5 |
| – | 0 | | | | |
| | 4 | 6 | | | |
| | 4 | 3 | | | |
STEP 7: SUBTRACT 46 - 43 = 3
|
| | 0 | 1 | | | |
4 | 3 | 4 | 6 | 2 | 2 | 5 |
| – | 0 | | | | |
| | 4 | 6 | | | |
| – | 4 | 3 | | | |
| | | 3 | | | |
STEP 8: BRING DOWN
|
| | 0 | 1 | | | |
4 | 3 | 4 | 6 | 2 | 2 | 5 |
| – | 0 | | | | |
| | 4 | 6 | | | |
| – | 4 | 3 | | | |
| | | 3 | 2 | | |
STEP 9: DIVIDE 32 : 43 = 0 with a remainder of 32
|
| | 0 | 1 | 0 | | |
4 | 3 | 4 | 6 | 2 | 2 | 5 |
| – | 0 | | | | |
| | 4 | 6 | | | |
| – | 4 | 3 | | | |
| | | 3 | 2 | | |
STEP 10: MULTIPLY 0 · 43 = 0
|
| | 0 | 1 | 0 | | |
4 | 3 | 4 | 6 | 2 | 2 | 5 |
| – | 0 | | | | |
| | 4 | 6 | | | |
| – | 4 | 3 | | | |
| | | 3 | 2 | | |
| | | | 0 | | |
STEP 11: SUBTRACT 32 - 0 = 32
|
| | 0 | 1 | 0 | | |
4 | 3 | 4 | 6 | 2 | 2 | 5 |
| – | 0 | | | | |
| | 4 | 6 | | | |
| – | 4 | 3 | | | |
| | | 3 | 2 | | |
| | | – | 0 | | |
| | | 3 | 2 | | |
STEP 12: BRING DOWN
|
| | 0 | 1 | 0 | | |
4 | 3 | 4 | 6 | 2 | 2 | 5 |
| – | 0 | | | | |
| | 4 | 6 | | | |
| – | 4 | 3 | | | |
| | | 3 | 2 | | |
| | | – | 0 | | |
| | | 3 | 2 | 2 | |
STEP 13: DIVIDE 322 : 43 = 7 with a remainder of 21
|
| | 0 | 1 | 0 | 7 | |
4 | 3 | 4 | 6 | 2 | 2 | 5 |
| – | 0 | | | | |
| | 4 | 6 | | | |
| – | 4 | 3 | | | |
| | | 3 | 2 | | |
| | | – | 0 | | |
| | | 3 | 2 | 2 | |
STEP 14: MULTIPLY 7 · 43 = 301
|
| | 0 | 1 | 0 | 7 | |
4 | 3 | 4 | 6 | 2 | 2 | 5 |
| – | 0 | | | | |
| | 4 | 6 | | | |
| – | 4 | 3 | | | |
| | | 3 | 2 | | |
| | | – | 0 | | |
| | | 3 | 2 | 2 | |
| | | 3 | 0 | 1 | |
STEP 15: SUBTRACT 322 - 301 = 21
|
| | 0 | 1 | 0 | 7 | |
4 | 3 | 4 | 6 | 2 | 2 | 5 |
| – | 0 | | | | |
| | 4 | 6 | | | |
| – | 4 | 3 | | | |
| | | 3 | 2 | | |
| | | – | 0 | | |
| | | 3 | 2 | 2 | |
| | – | 3 | 0 | 1 | |
| | | | 2 | 1 | |
STEP 16: BRING DOWN
|
| | 0 | 1 | 0 | 7 | |
4 | 3 | 4 | 6 | 2 | 2 | 5 |
| – | 0 | | | | |
| | 4 | 6 | | | |
| – | 4 | 3 | | | |
| | | 3 | 2 | | |
| | | – | 0 | | |
| | | 3 | 2 | 2 | |
| | – | 3 | 0 | 1 | |
| | | | 2 | 1 | 5 |
STEP 17: DIVIDE 215 : 43 = 5 with a remainder of 0
|
| | 0 | 1 | 0 | 7 | 5 |
4 | 3 | 4 | 6 | 2 | 2 | 5 |
| – | 0 | | | | |
| | 4 | 6 | | | |
| – | 4 | 3 | | | |
| | | 3 | 2 | | |
| | | – | 0 | | |
| | | 3 | 2 | 2 | |
| | – | 3 | 0 | 1 | |
| | | | 2 | 1 | 5 |
STEP 18: MULTIPLY 5 · 43 = 215
|
| | 0 | 1 | 0 | 7 | 5 |
4 | 3 | 4 | 6 | 2 | 2 | 5 |
| – | 0 | | | | |
| | 4 | 6 | | | |
| – | 4 | 3 | | | |
| | | 3 | 2 | | |
| | | – | 0 | | |
| | | 3 | 2 | 2 | |
| | – | 3 | 0 | 1 | |
| | | | 2 | 1 | 5 |
| | | | 2 | 1 | 5 |
STEP 19: SUBTRACT 215 - 215 = 0
|
| | 0 | 1 | 0 | 7 | 5 |
4 | 3 | 4 | 6 | 2 | 2 | 5 |
| – | 0 | | | | |
| | 4 | 6 | | | |
| – | 4 | 3 | | | |
| | | 3 | 2 | | |
| | | – | 0 | | |
| | | 3 | 2 | 2 | |
| | – | 3 | 0 | 1 | |
| | | | 2 | 1 | 5 |
| | | – | 2 | 1 | 5 |
| | | | | | 0 |
STEP 19: SUBTRACT 215 - 215 = 0
|
| | 0 | 1 | 0 | 7 | 5 |
4 | 3 | 4 | 6 | 2 | 2 | 5 |
| – | 0 | | | | |
| | 4 | 6 | | | |
| – | 4 | 3 | | | |
| | | 3 | 2 | | |
| | | – | 0 | | |
| | | 3 | 2 | 2 | |
| | – | 3 | 0 | 1 | |
| | | | 2 | 1 | 5 |
| | | – | 2 | 1 | 5 |
| | | | | | 0 |
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