$6 \longdiv { 478 }$
Answer (2)
To divide 478 by 6 through long division, we determine that 6 fits into 478 a total of 79 times with a remainder of 4. Therefore, we can express the answer as 79 R 4. This method involves successive division and subtraction steps.
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Divide 47 by 6, which gives a quotient of 7 and a remainder of 5.
Bring down the 8 to make 58.
Divide 58 by 6, which gives a quotient of 9 and a remainder of 4.
The result of the long division is 79 R 4 .
Explanation
Understanding the Problem We are asked to perform the long division of 478 by 6. This means we want to find out how many times 6 goes into 478 and what the remainder is.
Setting up the Long Division First, we set up the long division problem: 6 ) 478
First Division We start by dividing 47 by 6. The largest multiple of 6 that is less than or equal to 47 is 6 × 7 = 42 . So, we write 7 above the 7 in 478.
Bringing Down the Next Digit Next, we subtract 42 from 47, which gives us a remainder of 47 − 42 = 5 . We bring down the 8 from 478 to make 58.
Second Division Now, we divide 58 by 6. The largest multiple of 6 that is less than or equal to 58 is 6 × 9 = 54 . So, we write 9 above the 8 in 478.
Finding the Remainder We subtract 54 from 58, which gives us a remainder of 58 − 54 = 4 . Since there are no more digits to bring down, the division is complete.
Final Result The quotient is 79 and the remainder is 4. Therefore, 478 ÷ 6 = 79 with a remainder of 4. We write the answer as 79 R 4.
Examples
Long division is used in everyday life when you need to divide a quantity into equal parts. For example, if you have 478 candies and want to distribute them equally among 6 friends, long division helps you determine that each friend gets 79 candies, and there are 4 candies left over. This ensures a fair distribution and helps manage resources effectively.
