Solve 2187div648

$$2187 \div 648$$

Evaluate

$$\frac{27}{8}=3.375$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2187

$$\begin{array}{l}\phantom{648)}\phantom{1}\\648\overline{)2187}\\\end{array}$$

Since 2 is less than 648, use the next digit 1 from dividend 2187 and add 0 to the quotient

$$\begin{array}{l}\phantom{648)}0\phantom{2}\\648\overline{)2187}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 2187

$$\begin{array}{l}\phantom{648)}0\phantom{3}\\648\overline{)2187}\\\end{array}$$

Since 21 is less than 648, use the next digit 8 from dividend 2187 and add 0 to the quotient

$$\begin{array}{l}\phantom{648)}00\phantom{4}\\648\overline{)2187}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 2187

$$\begin{array}{l}\phantom{648)}00\phantom{5}\\648\overline{)2187}\\\end{array}$$

Since 218 is less than 648, use the next digit 7 from dividend 2187 and add 0 to the quotient

$$\begin{array}{l}\phantom{648)}000\phantom{6}\\648\overline{)2187}\\\end{array}$$

Use the 4^{th} digit 7 from dividend 2187

$$\begin{array}{l}\phantom{648)}000\phantom{7}\\648\overline{)2187}\\\end{array}$$

Find closest multiple of 648 to 2187. We see that 3 \times 648 = 1944 is the nearest. Now subtract 1944 from 2187 to get reminder 243. Add 3 to quotient.

$$\begin{array}{l}\phantom{648)}0003\phantom{8}\\648\overline{)2187}\\\phantom{648)}\underline{\phantom{}1944\phantom{}}\\\phantom{648)9}243\\\end{array}$$

Since 243 is less than 648, stop the division. The reminder is 243. The topmost line 0003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.

$$\text{Quotient: }3 \text{Reminder: }243$$

Factor

$$\frac{3 ^ {3}}{2 ^ {3}} = 3\frac{3}{8} = 3.375$$