Solve 585/180

$$\frac { 585 } { 180 }$$

Evaluate

$$\frac{13}{4}=3.25$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 585

$$\begin{array}{l}\phantom{180)}\phantom{1}\\180\overline{)585}\\\end{array}$$

Since 5 is less than 180, use the next digit 8 from dividend 585 and add 0 to the quotient

$$\begin{array}{l}\phantom{180)}0\phantom{2}\\180\overline{)585}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 585

$$\begin{array}{l}\phantom{180)}0\phantom{3}\\180\overline{)585}\\\end{array}$$

Since 58 is less than 180, use the next digit 5 from dividend 585 and add 0 to the quotient

$$\begin{array}{l}\phantom{180)}00\phantom{4}\\180\overline{)585}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 585

$$\begin{array}{l}\phantom{180)}00\phantom{5}\\180\overline{)585}\\\end{array}$$

Find closest multiple of 180 to 585. We see that 3 \times 180 = 540 is the nearest. Now subtract 540 from 585 to get reminder 45. Add 3 to quotient.

$$\begin{array}{l}\phantom{180)}003\phantom{6}\\180\overline{)585}\\\phantom{180)}\underline{\phantom{}540\phantom{}}\\\phantom{180)9}45\\\end{array}$$

Since 45 is less than 180, stop the division. The reminder is 45. The topmost line 003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.

$$\text{Quotient: }3 \text{Reminder: }45$$

Factor

$$\frac{13}{2 ^ {2}} = 3\frac{1}{4} = 3.25$$