Solve 5050/900

$$\frac { 5050 } { 900 }$$

Evaluate

$$\frac{101}{18}\approx 5.611111111$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 5050

$$\begin{array}{l}\phantom{900)}\phantom{1}\\900\overline{)5050}\\\end{array}$$

Since 5 is less than 900, use the next digit 0 from dividend 5050 and add 0 to the quotient

$$\begin{array}{l}\phantom{900)}0\phantom{2}\\900\overline{)5050}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 5050

$$\begin{array}{l}\phantom{900)}0\phantom{3}\\900\overline{)5050}\\\end{array}$$

Since 50 is less than 900, use the next digit 5 from dividend 5050 and add 0 to the quotient

$$\begin{array}{l}\phantom{900)}00\phantom{4}\\900\overline{)5050}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 5050

$$\begin{array}{l}\phantom{900)}00\phantom{5}\\900\overline{)5050}\\\end{array}$$

Since 505 is less than 900, use the next digit 0 from dividend 5050 and add 0 to the quotient

$$\begin{array}{l}\phantom{900)}000\phantom{6}\\900\overline{)5050}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 5050

$$\begin{array}{l}\phantom{900)}000\phantom{7}\\900\overline{)5050}\\\end{array}$$

Find closest multiple of 900 to 5050. We see that 5 \times 900 = 4500 is the nearest. Now subtract 4500 from 5050 to get reminder 550. Add 5 to quotient.

$$\begin{array}{l}\phantom{900)}0005\phantom{8}\\900\overline{)5050}\\\phantom{900)}\underline{\phantom{}4500\phantom{}}\\\phantom{900)9}550\\\end{array}$$

Since 550 is less than 900, stop the division. The reminder is 550. The topmost line 0005 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5.

$$\text{Quotient: }5 \text{Reminder: }550$$

Factor

$$\frac{101}{2 \cdot 3 ^ {2}} = 5\frac{11}{18} = 5.611111111111111$$