Division of Decimals

1) To divide a decimal by 10 or a power of 10, shift the decimal point to the left by as many places as there are zeros in the divisor (that is, 10 or a power of 10).

For e.g.: 34.5/10 = 3.45.

We know that the number of zeros in 10 is 1 so, on dividing by 10, the decimal point is shifted to the left by one place

2) To divide a decimal by positive or negative integers, we will follow the following steps:

Step 1: Perform the division by considering the dividend a whole number and ignoring the negative sign of both the dividend and of the divisor

Step 2: Place the decimal point in the quotient when the division of whole number part of decimal is complete

3) When both the signs of the given terms are different, the quotient will be negative

4) When both the signs of the given terms are same (either positive or negative), the quotient will be positive

To divide a decimal by another decimal,

Step 1: Convert the divisor into a whole- number by multiplying the dividend and the divisor by a suitable power of 10 that converts the divisor into a whole number

Step 2: Divide the new dividend by the new whole number divisor obtained above.

Follow the order of operations while solving multi-step problems

According to the order of operations we  perform the division (÷) first and then addition (+)