Solve 1664/26

$$1664 / 26$$

Evaluate

$$64$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1664

$$\begin{array}{l}\phantom{26)}\phantom{1}\\26\overline{)1664}\\\end{array}$$

Since 1 is less than 26, use the next digit 6 from dividend 1664 and add 0 to the quotient

$$\begin{array}{l}\phantom{26)}0\phantom{2}\\26\overline{)1664}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 1664

$$\begin{array}{l}\phantom{26)}0\phantom{3}\\26\overline{)1664}\\\end{array}$$

Since 16 is less than 26, use the next digit 6 from dividend 1664 and add 0 to the quotient

$$\begin{array}{l}\phantom{26)}00\phantom{4}\\26\overline{)1664}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 1664

$$\begin{array}{l}\phantom{26)}00\phantom{5}\\26\overline{)1664}\\\end{array}$$

Find closest multiple of 26 to 166. We see that 6 \times 26 = 156 is the nearest. Now subtract 156 from 166 to get reminder 10. Add 6 to quotient.

$$\begin{array}{l}\phantom{26)}006\phantom{6}\\26\overline{)1664}\\\phantom{26)}\underline{\phantom{}156\phantom{9}}\\\phantom{26)9}10\\\end{array}$$

Use the 4^{th} digit 4 from dividend 1664

$$\begin{array}{l}\phantom{26)}006\phantom{7}\\26\overline{)1664}\\\phantom{26)}\underline{\phantom{}156\phantom{9}}\\\phantom{26)9}104\\\end{array}$$

Find closest multiple of 26 to 104. We see that 4 \times 26 = 104 is the nearest. Now subtract 104 from 104 to get reminder 0. Add 4 to quotient.

$$\begin{array}{l}\phantom{26)}0064\phantom{8}\\26\overline{)1664}\\\phantom{26)}\underline{\phantom{}156\phantom{9}}\\\phantom{26)9}104\\\phantom{26)}\underline{\phantom{9}104\phantom{}}\\\phantom{26)9999}0\\\end{array}$$

Since 0 is less than 26, 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

$$2^{6}$$