Solve 741/256

$$\frac{ 741 }{ 256 }$$

Evaluate

$$\frac{741}{256}=2.89453125$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 741

$$\begin{array}{l}\phantom{256)}\phantom{1}\\256\overline{)741}\\\end{array}$$

Since 7 is less than 256, use the next digit 4 from dividend 741 and add 0 to the quotient

$$\begin{array}{l}\phantom{256)}0\phantom{2}\\256\overline{)741}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 741

$$\begin{array}{l}\phantom{256)}0\phantom{3}\\256\overline{)741}\\\end{array}$$

Since 74 is less than 256, use the next digit 1 from dividend 741 and add 0 to the quotient

$$\begin{array}{l}\phantom{256)}00\phantom{4}\\256\overline{)741}\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 741

$$\begin{array}{l}\phantom{256)}00\phantom{5}\\256\overline{)741}\\\end{array}$$

Find closest multiple of 256 to 741. We see that 2 \times 256 = 512 is the nearest. Now subtract 512 from 741 to get reminder 229. Add 2 to quotient.

$$\begin{array}{l}\phantom{256)}002\phantom{6}\\256\overline{)741}\\\phantom{256)}\underline{\phantom{}512\phantom{}}\\\phantom{256)}229\\\end{array}$$

Since 229 is less than 256, stop the division. The reminder is 229. The topmost line 002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }229$$

Factor

$$\frac{3 \cdot 13 \cdot 19}{2 ^ {8}} = 2\frac{229}{256} = 2.89453125$$