Solve 7117/225

$$\frac { 7117 } { 225 }$$

Evaluate

$$\frac{7117}{225}\approx 31.631111111$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 7117

$$\begin{array}{l}\phantom{225)}\phantom{1}\\225\overline{)7117}\\\end{array}$$

Since 7 is less than 225, use the next digit 1 from dividend 7117 and add 0 to the quotient

$$\begin{array}{l}\phantom{225)}0\phantom{2}\\225\overline{)7117}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 7117

$$\begin{array}{l}\phantom{225)}0\phantom{3}\\225\overline{)7117}\\\end{array}$$

Since 71 is less than 225, use the next digit 1 from dividend 7117 and add 0 to the quotient

$$\begin{array}{l}\phantom{225)}00\phantom{4}\\225\overline{)7117}\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 7117

$$\begin{array}{l}\phantom{225)}00\phantom{5}\\225\overline{)7117}\\\end{array}$$

Find closest multiple of 225 to 711. We see that 3 \times 225 = 675 is the nearest. Now subtract 675 from 711 to get reminder 36. Add 3 to quotient.

$$\begin{array}{l}\phantom{225)}003\phantom{6}\\225\overline{)7117}\\\phantom{225)}\underline{\phantom{}675\phantom{9}}\\\phantom{225)9}36\\\end{array}$$

Use the 4^{th} digit 7 from dividend 7117

$$\begin{array}{l}\phantom{225)}003\phantom{7}\\225\overline{)7117}\\\phantom{225)}\underline{\phantom{}675\phantom{9}}\\\phantom{225)9}367\\\end{array}$$

Find closest multiple of 225 to 367. We see that 1 \times 225 = 225 is the nearest. Now subtract 225 from 367 to get reminder 142. Add 1 to quotient.

$$\begin{array}{l}\phantom{225)}0031\phantom{8}\\225\overline{)7117}\\\phantom{225)}\underline{\phantom{}675\phantom{9}}\\\phantom{225)9}367\\\phantom{225)}\underline{\phantom{9}225\phantom{}}\\\phantom{225)9}142\\\end{array}$$

Since 142 is less than 225, stop the division. The reminder is 142. The topmost line 0031 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 31.

$$\text{Quotient: }31 \text{Reminder: }142$$

Factor

$$\frac{11 \cdot 647}{3 ^ {2} \cdot 5 ^ {2}} = 31\frac{142}{225} = 31.63111111111111$$