To divide 438 by 6 using long division, follow these steps:
- Set up the division: Place 438 under the long division bar and 6 outside.
________
6 | 438
-
Divide the first digit: Look at the first digit of 438 (which is 4). Since 6 cannot go into 4, consider the first two digits (43):
- How many times does 6 go into 43? It goes 7 times (because 6 x 7 = 42).
-
Multiply and subtract: Write 7 above the division bar and then multiply 7 by 6:
7
________
6 | 438
-42 (this is 6 x 7)
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1
- Bring down the next digit: Now, bring down the next digit of 438, which is 8. You now have 18.
7
________
6 | 438
-42
-----
18
-
Divide again: How many times does 6 go into 18? It goes exactly 3 times (because 6 x 3 = 18).
-
Multiply and subtract again: Write 3 above the division bar next to the 7, multiply, and subtract:
73
________
6 | 438
-42
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18
-18 (this is 6 x 3)
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0
- Final result: Since there's no remainder, the division is complete. The quotient is 73.
So, 438 divided by 6 is 73.