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.
Worked-out problems to find the quotient of a decimal by a decimal number:
Read the above explanation step-by-step 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
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