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Question
What is the quotient and remainder when $ 469 $ is divided by $ 9 $ ?
Answer
The quotient is 52 and the remainder is 1.
Explanation
Division Table
|
| 0 | 5 | 2 |
9 | 4 | 6 | 9 |
– | 0 | | |
| 4 | 6 | |
– | 4 | 5 | |
| | 1 | 9 |
| – | 1 | 8 |
| | | 1 |
STEP 0: set up a division table
|
| | | |
9 | 4 | 6 | 9 |
STEP 1: DIVIDE 4 : 9 = 0 with a remainder of 4
|
| 0 | | |
9 | 4 | 6 | 9 |
STEP 2: MULTIPLY 0 · 9 = 0
|
| 0 | | |
9 | 4 | 6 | 9 |
| 0 | | |
STEP 3: SUBTRACT 4 - 0 = 4
|
| 0 | | |
9 | 4 | 6 | 9 |
– | 0 | | |
| 4 | | |
STEP 4: BRING DOWN
|
| 0 | | |
9 | 4 | 6 | 9 |
– | 0 | | |
| 4 | 6 | |
STEP 5: DIVIDE 46 : 9 = 5 with a remainder of 1
|
| 0 | 5 | |
9 | 4 | 6 | 9 |
– | 0 | | |
| 4 | 6 | |
STEP 6: MULTIPLY 5 · 9 = 45
|
| 0 | 5 | |
9 | 4 | 6 | 9 |
– | 0 | | |
| 4 | 6 | |
| 4 | 5 | |
STEP 7: SUBTRACT 46 - 45 = 1
|
| 0 | 5 | |
9 | 4 | 6 | 9 |
– | 0 | | |
| 4 | 6 | |
– | 4 | 5 | |
| | 1 | |
STEP 8: BRING DOWN
|
| 0 | 5 | |
9 | 4 | 6 | 9 |
– | 0 | | |
| 4 | 6 | |
– | 4 | 5 | |
| | 1 | 9 |
STEP 9: DIVIDE 19 : 9 = 2 with a remainder of 1
|
| 0 | 5 | 2 |
9 | 4 | 6 | 9 |
– | 0 | | |
| 4 | 6 | |
– | 4 | 5 | |
| | 1 | 9 |
STEP 10: MULTIPLY 2 · 9 = 18
|
| 0 | 5 | 2 |
9 | 4 | 6 | 9 |
– | 0 | | |
| 4 | 6 | |
– | 4 | 5 | |
| | 1 | 9 |
| | 1 | 8 |
STEP 11: SUBTRACT 19 - 18 = 1
|
| 0 | 5 | 2 |
9 | 4 | 6 | 9 |
– | 0 | | |
| 4 | 6 | |
– | 4 | 5 | |
| | 1 | 9 |
| – | 1 | 8 |
| | | 1 |
STEP 11: SUBTRACT 19 - 18 = 1
|
| 0 | 5 | 2 |
9 | 4 | 6 | 9 |
– | 0 | | |
| 4 | 6 | |
– | 4 | 5 | |
| | 1 | 9 |
| – | 1 | 8 |
| | | 1 |
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