Solve 13213/720

$$\frac { 13213 } { 720 }$$

Evaluate

$$\frac{13213}{720}\approx 18.351388889$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 13213

$$\begin{array}{l}\phantom{720)}\phantom{1}\\720\overline{)13213}\\\end{array}$$

Since 1 is less than 720, use the next digit 3 from dividend 13213 and add 0 to the quotient

$$\begin{array}{l}\phantom{720)}0\phantom{2}\\720\overline{)13213}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 13213

$$\begin{array}{l}\phantom{720)}0\phantom{3}\\720\overline{)13213}\\\end{array}$$

Since 13 is less than 720, use the next digit 2 from dividend 13213 and add 0 to the quotient

$$\begin{array}{l}\phantom{720)}00\phantom{4}\\720\overline{)13213}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 13213

$$\begin{array}{l}\phantom{720)}00\phantom{5}\\720\overline{)13213}\\\end{array}$$

Since 132 is less than 720, use the next digit 1 from dividend 13213 and add 0 to the quotient

$$\begin{array}{l}\phantom{720)}000\phantom{6}\\720\overline{)13213}\\\end{array}$$

Use the 4^{th} digit 1 from dividend 13213

$$\begin{array}{l}\phantom{720)}000\phantom{7}\\720\overline{)13213}\\\end{array}$$

Find closest multiple of 720 to 1321. We see that 1 \times 720 = 720 is the nearest. Now subtract 720 from 1321 to get reminder 601. Add 1 to quotient.

$$\begin{array}{l}\phantom{720)}0001\phantom{8}\\720\overline{)13213}\\\phantom{720)}\underline{\phantom{9}720\phantom{9}}\\\phantom{720)9}601\\\end{array}$$

Use the 5^{th} digit 3 from dividend 13213

$$\begin{array}{l}\phantom{720)}0001\phantom{9}\\720\overline{)13213}\\\phantom{720)}\underline{\phantom{9}720\phantom{9}}\\\phantom{720)9}6013\\\end{array}$$

Find closest multiple of 720 to 6013. We see that 8 \times 720 = 5760 is the nearest. Now subtract 5760 from 6013 to get reminder 253. Add 8 to quotient.

$$\begin{array}{l}\phantom{720)}00018\phantom{10}\\720\overline{)13213}\\\phantom{720)}\underline{\phantom{9}720\phantom{9}}\\\phantom{720)9}6013\\\phantom{720)}\underline{\phantom{9}5760\phantom{}}\\\phantom{720)99}253\\\end{array}$$

Since 253 is less than 720, stop the division. The reminder is 253. The topmost line 00018 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 18.

$$\text{Quotient: }18 \text{Reminder: }253$$

Factor

$$\frac{73 \cdot 181}{2 ^ {4} \cdot 3 ^ {2} \cdot 5} = 18\frac{253}{720} = 18.351388888888888$$