Dividing decimal by a decimal number is just same like division as usual.
How to divide a decimal by a decimal number?
To divide a decimal by a decimal number follow the below steps:
● Convert the divisor into a whole number by multiplying the dividend and divisor by the suitable power of 10.
● Now, divide the new dividend by the whole number as discussed earlier.
Workedout problems to find the quotient of a decimal by a decimal number:
Read the above explanation stepbystep and try to understand the examples on division of decimals.
1. Find the quotient of:
(i) Divide 96.075 by 6.3
Solution:
Since, the divisor has 1 decimal place.
Therefore, multiply the dividend and divisor by 10
i.e., (96.075 × 10)/(6.3 × 10) = 960.75/63
Now, divide 960.75 by 63
i.e., 960.75 ÷ 63
Divide the decimal number without the decimal point,
so we have 96075 ÷ 63
Since, 960.75 has 2 decimal places
Therefore, 960.75 ÷ 63 will also have 2 decimal places
Therefore, 960.75 ÷ 63 = 15.25
(ii) Divide 24.629 by 1.1
Solution:
Since, the divisor has 1 decimal place.
Therefore, multiply the dividend and divisor by 10
i.e., (24.629 × 10)/(1.1 × 10) = 246.29/11
Now, divide 246.29 by 11
i.e., 246.29 ÷ 11
Divide the decimal number without the decimal point,
so we have 24629 ÷ 11
Since, 246.29 has 2 decimal places
Therefore, 246.29 ÷ 11 will also have 2 decimal places
Therefore, 960.75 ÷ 63 = 22.39
Word problems on division of decimal by a decimal number:
2. The length of a rectangle is 1.5 m and its area is 14.295. Find its breadth.
Solution:
Length of a rectangle is 1.5
Area of a rectangle is 14.295
Therefore, breadth of the rectangle = Area/Length = 14.295/1.5
= (14.295 × 10)/(1.5 × 10)
= 142.95/15
= 9.53 m
3. If the cost of 9 books is $206.55, find the cost of 1 book.
Solution:
Number of books = 9
Cost of 9 books = $206.55
Therefore, cost of 1 book = $(206.55 ÷ 9) = $22.95
`● Related Concept
● Decimals
● Conversion of Unlike Decimals to Like Decimals
● Decimal and Fractional Expansion
● Converting Decimals to Fractions
● Converting Fractions to Decimals
● H.C.F. and L.C.M. of Decimals
● Repeating or Recurring Decimal
● BODMAS/PEMDAS Rules  Involving Decimals
● PEMDAS Rules  Involving Integers
● PEMDAS Rules  Involving Decimals
● BODMAS Rules  Involving Integers
● Conversion of Pure Recurring Decimal into Vulgar Fraction
● Conversion of Mixed Recurring Decimals into Vulgar Fractions
● Rounding Decimals to the Nearest Whole Number
● Rounding Decimals to the Nearest Tenths
● Rounding Decimals to the Nearest Hundredths
● Simplify Decimals Involving Addition and Subtraction Decimals
● Multiplying Decimal by a Decimal Number
● Multiplying Decimal by a Whole Number
● Dividing Decimal by a Whole Number
● Dividing Decimal by a Decimal Number
From Dividing Decimal by a Decimal Number to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.

New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.