Convert Fraction to Decimal Using Long Division

Divide the numerator by the denominator: $11÷20=0.55$.

You can check it by scaling to hundredths: $\frac{11}{20}=\frac{11\times 5}{20\times 5}=\frac{55}{100}=0.55$. Note that both the numerator and the denominator must be multiplied by 5, and that 55 hundredths is written 0.55, not 0.055.

Divide the numerator by the denominator: $13÷50=0.26$.

Checking by scaling to hundredths: $\frac{13}{50}=\frac{13\times 2}{50\times 2}=\frac{26}{100}=0.26$. The answer is exact, so there is nothing to round or cut short.

Divide the numerator by the denominator: $7÷8=0.875$.

By long division, 8 goes into 7.000: $7.000÷8=0.875$ exactly. The division terminates, so give all three decimal places rather than stopping early.

Divide 131 by 99. It goes in once with 32 left over, and continuing the division the digits repeat: $131÷99=\mathrm{1.323232...}$

The remainder is not the decimal part - '1 remainder 32' is not 1.32. The recurring block is the two digits 32, so the value is written $\mathrm{1.323232...}$ (or $1.\dot{3}\dot{2}$). Because it never ends, stopped versions such as 1.32 and 1.3232 are not equal to the fraction.

Divide the numerator by the denominator: $7÷9=\mathrm{0.777...}$

Every step of the division leaves a remainder of 7, so the digit 7 repeats forever: $\mathrm{0.777...}$ (or $0.\dot{7}$). A stopped version such as 0.777 is not equal to $\frac{7}{9}$ - it is slightly smaller.

Divide 87 by 16. It goes in 5 times with 7 left over, so $\frac{87}{16}=5\frac{7}{16}$.

Continuing the division, $7÷16=0.4375$, so $\frac{87}{16}=5.4375$ exactly. The remainder 7 is not '.7' - it must be divided by 16 to become the decimal part, and since the division terminates there is no need to stop it early.