Solve 183/64

$$\frac { 183 } { 64 }$$

Evaluate

$$\frac{183}{64}=2.859375$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 183

$$\begin{array}{l}\phantom{64)}\phantom{1}\\64\overline{)183}\\\end{array}$$

Since 1 is less than 64, use the next digit 8 from dividend 183 and add 0 to the quotient

$$\begin{array}{l}\phantom{64)}0\phantom{2}\\64\overline{)183}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 183

$$\begin{array}{l}\phantom{64)}0\phantom{3}\\64\overline{)183}\\\end{array}$$

Since 18 is less than 64, use the next digit 3 from dividend 183 and add 0 to the quotient

$$\begin{array}{l}\phantom{64)}00\phantom{4}\\64\overline{)183}\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 183

$$\begin{array}{l}\phantom{64)}00\phantom{5}\\64\overline{)183}\\\end{array}$$

Find closest multiple of 64 to 183. We see that 2 \times 64 = 128 is the nearest. Now subtract 128 from 183 to get reminder 55. Add 2 to quotient.

$$\begin{array}{l}\phantom{64)}002\phantom{6}\\64\overline{)183}\\\phantom{64)}\underline{\phantom{}128\phantom{}}\\\phantom{64)9}55\\\end{array}$$

Since 55 is less than 64, stop the division. The reminder is 55. The topmost line 002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }55$$

Factor

$$\frac{3 \cdot 61}{2 ^ {6}} = 2\frac{55}{64} = 2.859375$$