In division of fourdigit by a onedigit numbers are discussed here step by step.
How to divide 4digit numbers by singledigit numbers?
Let us follow the examples to learn to divide 4digit numbers by onedigit numbers.
Divide and find the quotient:
(i) 3408 ÷ 3
(ii) 6585 ÷ 5
(iii) 4107 ÷ 6
(iv) 7608 ÷ 8
Solution:
The same procedure will be adopted to divide a 4digit number by a single digit number.
(i) 3408 ÷ 3
3 x 1Th = 3Th, 1Th is the quotient
3 x 1H = 3H, 3 x 2H = 6H, 1H is the quotient
3 x 3T =9T, 3 x 4T = 12T, 3T is the quotient
3 x 6 = 18, 6 is the quotient
Verification
3 x 1136 + 0 = 3408 + 0 = 3408
So, result is verified.
Quotient = 1136
or,
Instead of 3000, we put 3
Instead of 300, we put 3
Instead of 90 we put 9
(ii) 6585 ÷ 5
(i) 5 x 1Th = 5Th. 1Th is quotient
6Th  5Th = 1Th
(ii) 5 x 3H = 15H, 3 H is quotient
(iii) 5 x 1T = 5T, 1T is quotient
(iv) 8T  5T = 3T, 5 is carried down
5 x 7 = 35, 7 will be quotient
Quotient = 1317
Verification = 5 x 1317 + 0 = 6585 + 0 = 6585.
Result is verified.
(iii) 4107 ÷ 6
Quotient = 684 Remainder = 3
(i) 4 < 6, So, 41 is taken for division
6 x 6 = 36, 6 x 7 = 42,
6H will be quotient.
(ii) 50 is taken for division
6 x 8 = 48, 6 x 9 = 54,
8T is the quotient.
(iii) 27 is taken for division
6 x 4 = 24, 6 x 5 = 30
Therefore, 4 is the quotient.
Verification = 6 x 684 + 3 = 4104 + 3 = 4107.
So, result is verified.
(iv) 7608 ÷ 8
Quotient = 951 Remainder = 0
(i) 7 < 8, So 76 is taken for division
8 x 9 = 72, 8 x 10 = 80
9H is quotient.
(ii) 76  72 = 4,
40 T is taken for division, 8 x 5 = 40
5T is quotient.
(iii) 08 is taken for division
8 x 1 = 8, 8 x 2 = 16,
1 is quotient.
Verification = 8 x 951 + 0 = 7608 + 0 = 7608.
Result is verified.
(v) 9575 ÷ 5
Check:
quotient × divisor = dividend
1915 × 5 = 9575
(vi) 74768 ÷ 7
Check:
quotient × divisor + remainder = dividend
1681 × 7 + 1 = 74768
Related Concept
● Addition
● Check for Subtraction and Addition
● Word Problems Involving Addition and Subtraction
● Estimating Sums and Differences
● Multiply a Number by a 2Digit Number
● Multiplication of a Number by a 3Digit Number
● Word Problems on Multiplication
● Division of TwoDigit by a OneDigit Numbers
● Division of FourDigit by a OneDigit Numbers
● Division by 10 and 100 and 1000
● Division by TwoDigit Numbers
4th Grade Math Activities
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