Question

use long division to calculate the quotient. use the sketch tool or paper if it helps with your thinking. 199.8 ÷ 0.8

Explanation:

Step1: Convert divisor to integer

Multiply both dividend and divisor by 10 to eliminate the decimal in the divisor. So, \(199.8\div0.8=(199.8\times10)\div(0.8\times10)=1998\div8\).

Step2: Perform long division

Divide 1998 by 8:

• 8 goes into 19 two times (\(2\times8 = 16\)), subtract 16 from 19, remainder is 3.
• Bring down 9 to make 39. 8 goes into 39 four times (\(4\times8 = 32\)), subtract 32 from 39, remainder is 7.
• Bring down 8 to make 78. 8 goes into 78 nine times (\(9\times8 = 72\)), subtract 72 from 78, remainder is 6.
• Add a decimal point and a zero to make 60. 8 goes into 60 seven times (\(7\times8 = 56\)), subtract 56 from 60, remainder is 4.
• Add a zero to make 40. 8 goes into 40 five times (\(5\times8 = 40\)), subtract 40 from 40, remainder is 0.

Putting it all together, \(1998\div8 = 249.75\).

Answer:

\(249.75\)