In division of four-digit by a one-digit numbers are discussed here step by step.
How to divide 4-digit numbers by single-digit numbers?
Let us follow the examples to learn to divide 4-digit numbers by one-digit 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 4-digit 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 × 3T = 9T, 3 x 4T = 12T, 3T is the quotient
3 × 6 = 18, 6 is the quotient
Verification
3 × 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 × 1Th = 5Th. 1Th is quotient
6Th – 5Th = 1Th
(ii) 5 × 3H = 15H, 3 H is quotient
(iii) 5 × 1T = 5T, 1T is quotient
(iv) 8T – 5T = 3T, 5 is carried down
5 × 7 = 35, 7 will be quotient
Quotient = 1317
Verification = 5 × 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 × 6 = 36, 6 × 7 = 42,
6H will be quotient.
(ii) 50 is taken for division
6 × 8 = 48, 6 x 9 = 54,
8T is the quotient.
(iii) 27 is taken for division
6 × 4 = 24, 6 × 5 = 30
Therefore, 4 is the quotient.
Verification = 6 × 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 × 9 = 72, 8 × 10 = 80
9H is quotient.
(ii) 76 – 72 = 4,
40 T is taken for division, 8 × 5 = 40
5T is quotient.
(iii) 08 is taken for division
8 × 1 = 8, 8 × 2 = 16,
1 is quotient.
Verification = 8 × 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
4-Digit by 1-Digit Long Division Video
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Worksheet on Division of 4-Digit by a 1-Digit Numbers:
1. Divide and find the quotient.
(i) 3,561 ÷ 2
(ii) 4,123 ÷ 3
(iii) 8,303 ÷ 5
(iv) 1,954 ÷ 7
(v) 7,050 ÷ 8
(vi) 8,754 ÷ 9
(vii) 4,327 ÷ 5
(viii) 3,510 ÷ 4
(ix) 4,160 ÷ 8
(x) 8,004 ÷ 6
(xi) 4,716 ÷ 9
(xii) 5,520 ÷ 4
Answer:
1. (i) Quotient: 1780 ; Remainder: 1
(ii) Quotient: 1374 ; Remainder: 1
(iii) Quotient: 1660 ; Remainder: 3
(iv) Quotient: 279 ; Remainder: 1
(v) Quotient: 881 ; Remainder: 2
(vi) Quotient: 972 ; Remainder: 6
(vii) Quotient: 865 ; Remainder: 2
(viii) Quotient: 877 ; Remainder: 2
(ix) Quotient: 520 ; Remainder: 0
(x) Quotient: 1334 ; Remainder: 0
(xi) Quotient: 520 ; Remainder: 0
(xii) Quotient: 1380 ; Remainder: 0
2. Find the quotient and the remainder. Also, check your answer.
(i) 3,504 ÷ 2
(ii) 1,352 ÷ 8
(iii) 2,316 ÷ 6
(iv) 7,626 ÷ 6
(v) 2,742 ÷ 6
(vi) 8,676 ÷ 4
(vii) 5,448 ÷ 8
(viii) 5,600 ÷ 7
Answer:
2. (i) Quotient: 1752 ; Remainder: 0
(ii) Quotient: 169 ; Remainder: 0
(iii) Quotient: 386 ; Remainder: 0
(iv) Quotient: 1271 ; Remainder: 0
(v) Quotient: 457 ; Remainder: 0
(vi) Quotient: 2169 ; Remainder: 0
(vii) Quotient: 681 ; Remainder: 0
(viii) Quotient: 800 ; Remainder: 0
Related Concept
● Addition
● Check
for Subtraction and Addition
● Word
Problems Involving Addition and Subtraction
● Estimating
Sums and Differences
● Multiply
a Number by a 2-Digit Number
● Multiplication
of a Number by a 3-Digit Number
● Word
Problems on Multiplication
● Division
of Two-Digit by a One-Digit Numbers
● Division
of Four-Digit by a One-Digit Numbers
● Division
by 10 and 100 and 1000
● Division
by Two-Digit Numbers
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