Solve 1728/120

$$\frac { 1728 } { 120 }$$

Evaluate

$$\frac{72}{5}=14.4$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1728

$$\begin{array}{l}\phantom{120)}\phantom{1}\\120\overline{)1728}\\\end{array}$$

Since 1 is less than 120, use the next digit 7 from dividend 1728 and add 0 to the quotient

$$\begin{array}{l}\phantom{120)}0\phantom{2}\\120\overline{)1728}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 1728

$$\begin{array}{l}\phantom{120)}0\phantom{3}\\120\overline{)1728}\\\end{array}$$

Since 17 is less than 120, use the next digit 2 from dividend 1728 and add 0 to the quotient

$$\begin{array}{l}\phantom{120)}00\phantom{4}\\120\overline{)1728}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 1728

$$\begin{array}{l}\phantom{120)}00\phantom{5}\\120\overline{)1728}\\\end{array}$$

Find closest multiple of 120 to 172. We see that 1 \times 120 = 120 is the nearest. Now subtract 120 from 172 to get reminder 52. Add 1 to quotient.

$$\begin{array}{l}\phantom{120)}001\phantom{6}\\120\overline{)1728}\\\phantom{120)}\underline{\phantom{}120\phantom{9}}\\\phantom{120)9}52\\\end{array}$$

Use the 4^{th} digit 8 from dividend 1728

$$\begin{array}{l}\phantom{120)}001\phantom{7}\\120\overline{)1728}\\\phantom{120)}\underline{\phantom{}120\phantom{9}}\\\phantom{120)9}528\\\end{array}$$

Find closest multiple of 120 to 528. We see that 4 \times 120 = 480 is the nearest. Now subtract 480 from 528 to get reminder 48. Add 4 to quotient.

$$\begin{array}{l}\phantom{120)}0014\phantom{8}\\120\overline{)1728}\\\phantom{120)}\underline{\phantom{}120\phantom{9}}\\\phantom{120)9}528\\\phantom{120)}\underline{\phantom{9}480\phantom{}}\\\phantom{120)99}48\\\end{array}$$

Since 48 is less than 120, stop the division. The reminder is 48. The topmost line 0014 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 14.

$$\text{Quotient: }14 \text{Reminder: }48$$

Factor

$$\frac{2 ^ {3} \cdot 3 ^ {2}}{5} = 14\frac{2}{5} = 14.4$$