# Division of Four-Digit by a One-Digit Numbers

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 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

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