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This example has been taken directly from the solution given by Basic Math Decoded to the formulated problem.

**3487.461 ÷ 93.65**

**Multiply both the divisor and dividend by 100 so that the divisor is not a decimal but a whole number. In other words, move the decimal point 2 place(s) to the right in both the divisor and dividend.**

**348746.1 ÷ 9365**

**Place the divisor before the division bracket and place the dividend under it. The digits of the quotient must be written over the dividend.**

**Proceed with the division as you normally would when dividing whole numbers except put the decimal point in the quotient directly above the decimal point in the dividend.**

**Quotient will be find to 3 decimal place(s).**

**Add 2 trailing zero(es) on the dividend to complete 3 decimal place(s).**

**Remember that you can write zeroes to the right of the last decimal place and not change the value of the decimal.**

9365)348746.100

**From the left of the dividend (348746100), take as many digits as necessary to form a number (34874) that will contain the divisor (9365) at least once but less than ten times.**

9365)

**34874**6.100

**Determine how many times the divisor 9365 is contained into the partial dividend 34874, and obtain the first digit of the quotient.**

**The answer is 3 (3 × 9365 = 28095) but not 4 because 4 × 9365 = 37460.**

**Place the answer (3) above the division bracket and directly above the last digit of the partial dividend (34874).**

__3__

9365)

**34874**6.100

**Multiply the 3 by 9365 and place the result (28095) below the 34874 of the dividend.**

__3__

9365)348746.100

**28095**

**Draw a line under the 28095 and subtract it from 34874 (34874 - 28095 = 6779). The difference can never be greater than the divisor, if so, you selected an incorrect value, and must select a bigger one.**

**Bring down the next digit of the dividend (6) and place it to the right of the difference (6779), making it 67796.**

__3__

9365)34874

**6**.100__28095__

6779

**6**

**Determine how many times the divisor 9365 is contained into 67796 and place the answer to the right of the existing digits of the quotient.**

**The answer is 7 (7 × 9365 = 65555) but not 8 because 8 × 9365 = 74920.**

**Put the decimal point just above the decimal point in the dividend.**

__37__

__.__

9365)348746.100

__28095__

67796

**Multiply the 7 by 9365 and place the result (65555) below the 67796.**

__37__

__.__

9365)348746.100

__28095__

67796

**65555**

**Draw a line under the 65555 and subtract it from 67796 (67796 - 65555 = 2241). The difference can never be greater than the divisor, if so, you selected an incorrect value, and must select a bigger one.**

**Bring down the next digit of the dividend (1) and place it to the right of the difference (2241), making it 22411.**

__37.__

9365)348746.

**1**00__28095__

67796

__65555__

2241

**1**

**Determine how many times the divisor 9365 is contained into 22411 and place the answer to the right of the existing digits of the quotient.**

**The answer is 2 (2 × 9365 = 18730) but not 3 because 3 × 9365 = 28095.**

__37.__

__2__

9365)348746.100

__28095__

67796

__65555__

2241 1

**Multiply the 2 by 9365 and place the result (18730) below the 22411.**

__37.__

__2__

9365)348746.100

__28095__

67796

__65555__

2241 1

**1873 0**

**Draw a line under the 18730 and subtract it from 22411 (22411 - 18730 = 3681). The difference can never be greater than the divisor, if so, you selected an incorrect value, and must select a bigger one.**

**Bring down the next digit of the dividend (0) and place it to the right of the difference (3681), making it 36810.**

__37.2__

9365)348746.1

**0**0__28095__

67796

__65555__

2241 1

__1873 0__

368 1

**0**

**Determine how many times the divisor 9365 is contained into 36810 and place the answer to the right of the existing digits of the quotient.**

**The answer is 3 (3 × 9365 = 28095) but not 4 because 4 × 9365 = 37460.**

__37.2__

__3__

9365)348746.100

__28095__

67796

__65555__

2241 1

__1873 0__

368 10

**Multiply the 3 by 9365 and place the result (28095) below the 36810.**

__37.2__

__3__

9365)348746.100

__28095__

67796

__65555__

2241 1

__1873 0__

368 10

**280 95**

**Draw a line under the 28095 and subtract it from 36810 (36810 - 28095 = 8715). The difference can never be greater than the divisor, if so, you selected an incorrect value, and must select a bigger one.**

**Bring down the next digit of the dividend (0) and place it to the right of the difference (8715), making it 87150.**

__37.23__

9365)348746.10

**0**__28095__

67796

__65555__

2241 1

__1873 0__

368 10

__280 95__

87 15

**0**

**Determine how many times the divisor 9365 is contained into 87150 and place the answer to the right of the existing digits of the quotient.**

**The answer is 9 (9 × 9365 = 84285).**

__37.23__

__9__9365)348746.100

__28095__

67796

__65555__

2241 1

__1873 0__

368 10

__280 95__

87 150

**Multiply the 9 by 9365 and place the result (84285) below the 87150.**

__37.23__

__9__9365)348746.100

__28095__

67796

__65555__

2241 1

__1873 0__

368 10

__280 95__

87 150

**84 285**

**Draw a line under the 84285 and subtract it from 87150 (87150 - 84285 = 2865). The difference can never be greater than the divisor, if so, you selected an incorrect value, and must select a bigger one.**

**Final answer**

__37.239__

9365)348746.100

__28095__

67796

__65555__

2241 1

__1873 0__

368 10

__280 95__

87 150

__84 285__

2 865