Solve 4096div64

$$4096 \div 64$$

Evaluate

$$64$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{64)}\phantom{1}\\64\overline{)4096}\\\end{array}$$

Since 4 is less than 64, use the next digit 0 from dividend 4096 and add 0 to the quotient

$$\begin{array}{l}\phantom{64)}0\phantom{2}\\64\overline{)4096}\\\end{array}$$

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

$$\begin{array}{l}\phantom{64)}0\phantom{3}\\64\overline{)4096}\\\end{array}$$

Since 40 is less than 64, use the next digit 9 from dividend 4096 and add 0 to the quotient

$$\begin{array}{l}\phantom{64)}00\phantom{4}\\64\overline{)4096}\\\end{array}$$

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

$$\begin{array}{l}\phantom{64)}00\phantom{5}\\64\overline{)4096}\\\end{array}$$

Find closest multiple of 64 to 409. We see that 6 \times 64 = 384 is the nearest. Now subtract 384 from 409 to get reminder 25. Add 6 to quotient.

$$\begin{array}{l}\phantom{64)}006\phantom{6}\\64\overline{)4096}\\\phantom{64)}\underline{\phantom{}384\phantom{9}}\\\phantom{64)9}25\\\end{array}$$

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

$$\begin{array}{l}\phantom{64)}006\phantom{7}\\64\overline{)4096}\\\phantom{64)}\underline{\phantom{}384\phantom{9}}\\\phantom{64)9}256\\\end{array}$$

Find closest multiple of 64 to 256. We see that 4 \times 64 = 256 is the nearest. Now subtract 256 from 256 to get reminder 0. Add 4 to quotient.

$$\begin{array}{l}\phantom{64)}0064\phantom{8}\\64\overline{)4096}\\\phantom{64)}\underline{\phantom{}384\phantom{9}}\\\phantom{64)9}256\\\phantom{64)}\underline{\phantom{9}256\phantom{}}\\\phantom{64)9999}0\\\end{array}$$

Since 0 is less than 64, stop the division. The reminder is 0. The topmost line 0064 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 64.

$$\text{Quotient: }64 \text{Reminder: }0$$

Factor

$$2^{6}$$