Solve +23562/200

$$+ \frac { 23562 } { 200 }$$

Evaluate

$$\frac{11781}{100}=117.81$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 23562

$$\begin{array}{l}\phantom{200)}\phantom{1}\\200\overline{)23562}\\\end{array}$$

Since 2 is less than 200, use the next digit 3 from dividend 23562 and add 0 to the quotient

$$\begin{array}{l}\phantom{200)}0\phantom{2}\\200\overline{)23562}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 23562

$$\begin{array}{l}\phantom{200)}0\phantom{3}\\200\overline{)23562}\\\end{array}$$

Since 23 is less than 200, use the next digit 5 from dividend 23562 and add 0 to the quotient

$$\begin{array}{l}\phantom{200)}00\phantom{4}\\200\overline{)23562}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 23562

$$\begin{array}{l}\phantom{200)}00\phantom{5}\\200\overline{)23562}\\\end{array}$$

Find closest multiple of 200 to 235. We see that 1 \times 200 = 200 is the nearest. Now subtract 200 from 235 to get reminder 35. Add 1 to quotient.

$$\begin{array}{l}\phantom{200)}001\phantom{6}\\200\overline{)23562}\\\phantom{200)}\underline{\phantom{}200\phantom{99}}\\\phantom{200)9}35\\\end{array}$$

Use the 4^{th} digit 6 from dividend 23562

$$\begin{array}{l}\phantom{200)}001\phantom{7}\\200\overline{)23562}\\\phantom{200)}\underline{\phantom{}200\phantom{99}}\\\phantom{200)9}356\\\end{array}$$

Find closest multiple of 200 to 356. We see that 1 \times 200 = 200 is the nearest. Now subtract 200 from 356 to get reminder 156. Add 1 to quotient.

$$\begin{array}{l}\phantom{200)}0011\phantom{8}\\200\overline{)23562}\\\phantom{200)}\underline{\phantom{}200\phantom{99}}\\\phantom{200)9}356\\\phantom{200)}\underline{\phantom{9}200\phantom{9}}\\\phantom{200)9}156\\\end{array}$$

Use the 5^{th} digit 2 from dividend 23562

$$\begin{array}{l}\phantom{200)}0011\phantom{9}\\200\overline{)23562}\\\phantom{200)}\underline{\phantom{}200\phantom{99}}\\\phantom{200)9}356\\\phantom{200)}\underline{\phantom{9}200\phantom{9}}\\\phantom{200)9}1562\\\end{array}$$

Find closest multiple of 200 to 1562. We see that 7 \times 200 = 1400 is the nearest. Now subtract 1400 from 1562 to get reminder 162. Add 7 to quotient.

$$\begin{array}{l}\phantom{200)}00117\phantom{10}\\200\overline{)23562}\\\phantom{200)}\underline{\phantom{}200\phantom{99}}\\\phantom{200)9}356\\\phantom{200)}\underline{\phantom{9}200\phantom{9}}\\\phantom{200)9}1562\\\phantom{200)}\underline{\phantom{9}1400\phantom{}}\\\phantom{200)99}162\\\end{array}$$

Since 162 is less than 200, stop the division. The reminder is 162. The topmost line 00117 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 117.

$$\text{Quotient: }117 \text{Reminder: }162$$

Factor

$$\frac{3 ^ {2} \cdot 7 \cdot 11 \cdot 17}{2 ^ {2} \cdot 5 ^ {2}} = 117\frac{81}{100} = 117.81$$