Solve 4096div496

$$4096 \div 496$$

Evaluate

$$\frac{256}{31}\approx 8.258064516$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 4096

$$\begin{array}{l}\phantom{496)}\phantom{1}\\496\overline{)4096}\\\end{array}$$

Since 4 is less than 496, use the next digit 0 from dividend 4096 and add 0 to the quotient

$$\begin{array}{l}\phantom{496)}0\phantom{2}\\496\overline{)4096}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 4096

$$\begin{array}{l}\phantom{496)}0\phantom{3}\\496\overline{)4096}\\\end{array}$$

Since 40 is less than 496, use the next digit 9 from dividend 4096 and add 0 to the quotient

$$\begin{array}{l}\phantom{496)}00\phantom{4}\\496\overline{)4096}\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 4096

$$\begin{array}{l}\phantom{496)}00\phantom{5}\\496\overline{)4096}\\\end{array}$$

Since 409 is less than 496, use the next digit 6 from dividend 4096 and add 0 to the quotient

$$\begin{array}{l}\phantom{496)}000\phantom{6}\\496\overline{)4096}\\\end{array}$$

Use the 4^{th} digit 6 from dividend 4096

$$\begin{array}{l}\phantom{496)}000\phantom{7}\\496\overline{)4096}\\\end{array}$$

Find closest multiple of 496 to 4096. We see that 8 \times 496 = 3968 is the nearest. Now subtract 3968 from 4096 to get reminder 128. Add 8 to quotient.

$$\begin{array}{l}\phantom{496)}0008\phantom{8}\\496\overline{)4096}\\\phantom{496)}\underline{\phantom{}3968\phantom{}}\\\phantom{496)9}128\\\end{array}$$

Since 128 is less than 496, stop the division. The reminder is 128. The topmost line 0008 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 8.

$$\text{Quotient: }8 \text{Reminder: }128$$

Factor

$$\frac{2 ^ {8}}{31} = 8\frac{8}{31} = 8.258064516129032$$