Solve 19166/175

$$\frac { 19166 } { 175 }$$

Evaluate

$$\frac{2738}{25}=109.52$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 19166

$$\begin{array}{l}\phantom{175)}\phantom{1}\\175\overline{)19166}\\\end{array}$$

Since 1 is less than 175, use the next digit 9 from dividend 19166 and add 0 to the quotient

$$\begin{array}{l}\phantom{175)}0\phantom{2}\\175\overline{)19166}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 19166

$$\begin{array}{l}\phantom{175)}0\phantom{3}\\175\overline{)19166}\\\end{array}$$

Since 19 is less than 175, use the next digit 1 from dividend 19166 and add 0 to the quotient

$$\begin{array}{l}\phantom{175)}00\phantom{4}\\175\overline{)19166}\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 19166

$$\begin{array}{l}\phantom{175)}00\phantom{5}\\175\overline{)19166}\\\end{array}$$

Find closest multiple of 175 to 191. We see that 1 \times 175 = 175 is the nearest. Now subtract 175 from 191 to get reminder 16. Add 1 to quotient.

$$\begin{array}{l}\phantom{175)}001\phantom{6}\\175\overline{)19166}\\\phantom{175)}\underline{\phantom{}175\phantom{99}}\\\phantom{175)9}16\\\end{array}$$

Use the 4^{th} digit 6 from dividend 19166

$$\begin{array}{l}\phantom{175)}001\phantom{7}\\175\overline{)19166}\\\phantom{175)}\underline{\phantom{}175\phantom{99}}\\\phantom{175)9}166\\\end{array}$$

Since 166 is less than 175, use the next digit 6 from dividend 19166 and add 0 to the quotient

$$\begin{array}{l}\phantom{175)}0010\phantom{8}\\175\overline{)19166}\\\phantom{175)}\underline{\phantom{}175\phantom{99}}\\\phantom{175)9}166\\\end{array}$$

Use the 5^{th} digit 6 from dividend 19166

$$\begin{array}{l}\phantom{175)}0010\phantom{9}\\175\overline{)19166}\\\phantom{175)}\underline{\phantom{}175\phantom{99}}\\\phantom{175)9}1666\\\end{array}$$

Find closest multiple of 175 to 1666. We see that 9 \times 175 = 1575 is the nearest. Now subtract 1575 from 1666 to get reminder 91. Add 9 to quotient.

$$\begin{array}{l}\phantom{175)}00109\phantom{10}\\175\overline{)19166}\\\phantom{175)}\underline{\phantom{}175\phantom{99}}\\\phantom{175)9}1666\\\phantom{175)}\underline{\phantom{9}1575\phantom{}}\\\phantom{175)999}91\\\end{array}$$

Since 91 is less than 175, stop the division. The reminder is 91. The topmost line 00109 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 109.

$$\text{Quotient: }109 \text{Reminder: }91$$

Factor

$$\frac{2 \cdot 37 ^ {2}}{5 ^ {2}} = 109\frac{13}{25} = 109.52$$