Dividing a decimal by 0.1, 0.01, and 0.001 is done in the same way as dividing a decimal by a decimal. In the dividend and in the divisor you must move the point to the right by as many digits as there are after the point in the divisor.
For example, divide 6.3 by 0.1. First, move the dots in the dividend and divisor to the right by as many digits as there are after the dot in the divisor. There is one digit after the point in the dividend. So we move the points in the dividend and divisor to the right by one digit.
After moving the point to the right by one digit, the decimal 6.3 turns into the regular number 63, and the decimal 0.1 turns into a unit after moving the point to the right by one digit. And dividing 63 by 1 is very simple:
63 : 1 = 63
So the value of the expression 6.3 : 0.1 is 63
6.3 : 0.1 = 63
But there is a second way. It is easier. The essence of this method is that the point in the dividend is moved to the right by as many digits as there are zeros in the divisor.
Let's solve the previous example this way. 6,3 : 0,1. We look at the dividend. We are interested in how many zeroes are in it. We see that there is one zero. It means that in the dividend 6.3 we need to move the point to the right by one digit. We move the point to the right by one digit and get 63
6,3 : 0.1 = 63
Let's try to divide 6.3 by 0.01. There are two zeros in the divisor 0.01. So in the divisor 6.3 we need to move the point to the right by two digits. But the divisor has only one digit after the point. In this case, add another zero at the end. The result will be 630
6,3 : 0.01 = 630
Let's try to divide 6.3 by 0.001. There are three zeros in the divisor 0.001. So in the dividend 6.3 we have to move the point to the right by three digits:
6,3 : 0.001 = 6300
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