Solve 1728div54

$$1728 \div 54$$

Evaluate

$$32$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{54)}\phantom{1}\\54\overline{)1728}\\\end{array}$$

Since 1 is less than 54, use the next digit 7 from dividend 1728 and add 0 to the quotient

$$\begin{array}{l}\phantom{54)}0\phantom{2}\\54\overline{)1728}\\\end{array}$$

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

$$\begin{array}{l}\phantom{54)}0\phantom{3}\\54\overline{)1728}\\\end{array}$$

Since 17 is less than 54, use the next digit 2 from dividend 1728 and add 0 to the quotient

$$\begin{array}{l}\phantom{54)}00\phantom{4}\\54\overline{)1728}\\\end{array}$$

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

$$\begin{array}{l}\phantom{54)}00\phantom{5}\\54\overline{)1728}\\\end{array}$$

Find closest multiple of 54 to 172. We see that 3 \times 54 = 162 is the nearest. Now subtract 162 from 172 to get reminder 10. Add 3 to quotient.

$$\begin{array}{l}\phantom{54)}003\phantom{6}\\54\overline{)1728}\\\phantom{54)}\underline{\phantom{}162\phantom{9}}\\\phantom{54)9}10\\\end{array}$$

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

$$\begin{array}{l}\phantom{54)}003\phantom{7}\\54\overline{)1728}\\\phantom{54)}\underline{\phantom{}162\phantom{9}}\\\phantom{54)9}108\\\end{array}$$

Find closest multiple of 54 to 108. We see that 2 \times 54 = 108 is the nearest. Now subtract 108 from 108 to get reminder 0. Add 2 to quotient.

$$\begin{array}{l}\phantom{54)}0032\phantom{8}\\54\overline{)1728}\\\phantom{54)}\underline{\phantom{}162\phantom{9}}\\\phantom{54)9}108\\\phantom{54)}\underline{\phantom{9}108\phantom{}}\\\phantom{54)9999}0\\\end{array}$$

Since 0 is less than 54, stop the division. The reminder is 0. The topmost line 0032 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 32.

$$\text{Quotient: }32 \text{Reminder: }0$$

Factor

$$2^{5}$$