Solve 505/55

$$\frac{ 505 }{ 55 }$$

Evaluate

$$\frac{101}{11}\approx 9.181818182$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 505

$$\begin{array}{l}\phantom{55)}\phantom{1}\\55\overline{)505}\\\end{array}$$

Since 5 is less than 55, use the next digit 0 from dividend 505 and add 0 to the quotient

$$\begin{array}{l}\phantom{55)}0\phantom{2}\\55\overline{)505}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 505

$$\begin{array}{l}\phantom{55)}0\phantom{3}\\55\overline{)505}\\\end{array}$$

Since 50 is less than 55, use the next digit 5 from dividend 505 and add 0 to the quotient

$$\begin{array}{l}\phantom{55)}00\phantom{4}\\55\overline{)505}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 505

$$\begin{array}{l}\phantom{55)}00\phantom{5}\\55\overline{)505}\\\end{array}$$

Find closest multiple of 55 to 505. We see that 9 \times 55 = 495 is the nearest. Now subtract 495 from 505 to get reminder 10. Add 9 to quotient.

$$\begin{array}{l}\phantom{55)}009\phantom{6}\\55\overline{)505}\\\phantom{55)}\underline{\phantom{}495\phantom{}}\\\phantom{55)9}10\\\end{array}$$

Since 10 is less than 55, stop the division. The reminder is 10. The topmost line 009 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 9.

$$\text{Quotient: }9 \text{Reminder: }10$$

Factor

$$\frac{101}{11} = 9\frac{2}{11} = 9.181818181818182$$