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Divide.
Full solution
Q. Divide.
- Set up division problem: Set up the division problem in a way that the divisor is a whole number. To do this, we need to move the decimal point in both the dividend () and the divisor () one place to the right. This will make the divisor instead of , and the dividend will become instead of .
- Estimate division: Now, divide by . To do this, we can estimate how many times goes into . Since is close to , and goes into twice with a little left over, we can start by estimating that will go into about twice.
- Perform division: Perform the division. goes into two times (), and when we subtract from , we get . Now we need to determine how many times goes into .
- Estimate remainder division: Since is close to , and goes into four times, we can estimate that will go into about four times. Let's try multiplying by to see if it fits. . This fits perfectly, so we can add to our quotient.
- Combine quotient: Combine the whole number and the decimal part of the quotient. We have from our initial division and from the second part, so the quotient is .
