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Divide.

3.478÷37=

Divide.\newline3.478÷37=3.478 \div 37 =

Full solution

Q. Divide.\newline3.478÷37=3.478 \div 37 =
  1. Set up the division problem: Set up the division problem.\newlineWe need to divide 3.4783.478 by 3737. We can set this up as a long division problem where 3.4783.478 is the dividend and 3737 is the divisor.
  2. Adjust the dividend: Determine if we need to adjust the dividend.\newlineSince the dividend has three decimal places, we can multiply both the dividend and the divisor by 10001000 to make the dividend a whole number. This will not change the value of the quotient.\newline3.478×1000=34783.478 \times 1000 = 3478\newline37×1000=3700037 \times 1000 = 37000\newlineNow we have 3478÷370003478 \div 37000.
  3. Perform the division: Perform the division.\newlineWe can see that 3737 does not go into 33 or 3434, but it does go into 347347. To find out how many times, we can estimate. 3737 is close to 4040, and 340340 divided by 4040 is 8.58.5, which is too high because 3737 is less than 4040. Let's try 3311.\newline3322\newlineThis is less than 347347, so we can subtract 3344 from 347347.\newline3366\newlineBring down the next digit, which is 3377, to get 3388.
  4. Continue the division: Continue the division.\newlineNow we need to see how many times 3737 goes into 148148. Again, we can estimate. 3737 is close to 4040, and 140140 divided by 4040 is 3.53.5, which is too high. Let's try 44.\newline37×4=14837 \times 4 = 148\newlineThis is exactly 148148, so we can subtract 148148 from 148148.\newline14814822\newlineSince there are no more digits to bring down, we have completed the division.
  5. Write the final answer: Write the final answer.\newlineThe quotient of 34783478 divided by 3700037000 is 0.0940.094. Since we multiplied the dividend and divisor by 10001000 in step 22, we do not need to adjust the decimal place in our final answer.