Solve 3263/180

$$\frac { 3263 } { 180 }$$

Evaluate

$$\frac{3263}{180}\approx 18.127777778$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3263

$$\begin{array}{l}\phantom{180)}\phantom{1}\\180\overline{)3263}\\\end{array}$$

Since 3 is less than 180, use the next digit 2 from dividend 3263 and add 0 to the quotient

$$\begin{array}{l}\phantom{180)}0\phantom{2}\\180\overline{)3263}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 3263

$$\begin{array}{l}\phantom{180)}0\phantom{3}\\180\overline{)3263}\\\end{array}$$

Since 32 is less than 180, use the next digit 6 from dividend 3263 and add 0 to the quotient

$$\begin{array}{l}\phantom{180)}00\phantom{4}\\180\overline{)3263}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 3263

$$\begin{array}{l}\phantom{180)}00\phantom{5}\\180\overline{)3263}\\\end{array}$$

Find closest multiple of 180 to 326. We see that 1 \times 180 = 180 is the nearest. Now subtract 180 from 326 to get reminder 146. Add 1 to quotient.

$$\begin{array}{l}\phantom{180)}001\phantom{6}\\180\overline{)3263}\\\phantom{180)}\underline{\phantom{}180\phantom{9}}\\\phantom{180)}146\\\end{array}$$

Use the 4^{th} digit 3 from dividend 3263

$$\begin{array}{l}\phantom{180)}001\phantom{7}\\180\overline{)3263}\\\phantom{180)}\underline{\phantom{}180\phantom{9}}\\\phantom{180)}1463\\\end{array}$$

Find closest multiple of 180 to 1463. We see that 8 \times 180 = 1440 is the nearest. Now subtract 1440 from 1463 to get reminder 23. Add 8 to quotient.

$$\begin{array}{l}\phantom{180)}0018\phantom{8}\\180\overline{)3263}\\\phantom{180)}\underline{\phantom{}180\phantom{9}}\\\phantom{180)}1463\\\phantom{180)}\underline{\phantom{}1440\phantom{}}\\\phantom{180)99}23\\\end{array}$$

Since 23 is less than 180, stop the division. The reminder is 23. The topmost line 0018 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 18.

$$\text{Quotient: }18 \text{Reminder: }23$$

Factor

$$\frac{13 \cdot 251}{2 ^ {2} \cdot 3 ^ {2} \cdot 5} = 18\frac{23}{180} = 18.127777777777776$$