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

**Proceed with the division as you normally would when dividing whole numbers, except put the decimal point in the quotient exactly when you bring down the digit just after the decimal point.**

**From the left of the dividend (348746.1), 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.**

**34874**6.1|

__9365__

**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.**

**34874**6.1|

__9365__

**3**

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

348746.1|

__9365__**28095**

**3**

**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.**

34874

**6**.1|__9365____28095__3

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.**

348746.1|

__9365____28095__3

**7**

67796

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

348746.1|

__9365____28095__3

**7**

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.**

**When you bring down the next digit after the decimal point you must place the decimal point in the quotient.**

348746.

**1**|__9365____28095__37.

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.**

348746.1|

__9365____28095__37.

**2**

67796

__65555__

22411

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

348746.1|

__9365____28095__37.

**2**

67796

__65555__

22411

**18730**

**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.**

**All the digits of the dividend have been exhausted.**

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

**Bring down a zero and place it to the right of the difference 3681, making it 36810.**

348746.1|

__9365____28095__37.2

67796

__65555__

22411

__18730__

3681

**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.**

348746.1|

__9365____28095__37.2

**3**

67796

__65555__

22411

__18730__

36810

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

348746.1|

__9365____28095__37.2

**3**

67796

__65555__

22411

__18730__

36810

**28095**

**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 a zero and place it to the right of the difference 8715, making it 87150.**

348746.1|

__9365____28095__37.23

67796

__65555__

22411

__18730__

36810

__28095__

8715

**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).**

348746.1|

__9365____28095__37.23

**9**

67796

__65555__

22411

__18730__

36810

__28095__

87150

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

348746.1|

__9365____28095__37.23

**9**

67796

__65555__

22411

__18730__

36810

__28095__

87150

**84285**

**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**

348746.1|

__9365____28095__37.239

67796

__65555__

22411

__18730__

36810

__28095__

87150

__84285__

2865