Solve 1680/26

$$\frac{ 1680 }{ 26 }$$

Evaluate

$$\frac{840}{13}\approx 64.615384615$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1680

$$\begin{array}{l}\phantom{26)}\phantom{1}\\26\overline{)1680}\\\end{array}$$

Since 1 is less than 26, use the next digit 6 from dividend 1680 and add 0 to the quotient

$$\begin{array}{l}\phantom{26)}0\phantom{2}\\26\overline{)1680}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 1680

$$\begin{array}{l}\phantom{26)}0\phantom{3}\\26\overline{)1680}\\\end{array}$$

Since 16 is less than 26, use the next digit 8 from dividend 1680 and add 0 to the quotient

$$\begin{array}{l}\phantom{26)}00\phantom{4}\\26\overline{)1680}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 1680

$$\begin{array}{l}\phantom{26)}00\phantom{5}\\26\overline{)1680}\\\end{array}$$

Find closest multiple of 26 to 168. We see that 6 \times 26 = 156 is the nearest. Now subtract 156 from 168 to get reminder 12. Add 6 to quotient.

$$\begin{array}{l}\phantom{26)}006\phantom{6}\\26\overline{)1680}\\\phantom{26)}\underline{\phantom{}156\phantom{9}}\\\phantom{26)9}12\\\end{array}$$

Use the 4^{th} digit 0 from dividend 1680

$$\begin{array}{l}\phantom{26)}006\phantom{7}\\26\overline{)1680}\\\phantom{26)}\underline{\phantom{}156\phantom{9}}\\\phantom{26)9}120\\\end{array}$$

Find closest multiple of 26 to 120. We see that 4 \times 26 = 104 is the nearest. Now subtract 104 from 120 to get reminder 16. Add 4 to quotient.

$$\begin{array}{l}\phantom{26)}0064\phantom{8}\\26\overline{)1680}\\\phantom{26)}\underline{\phantom{}156\phantom{9}}\\\phantom{26)9}120\\\phantom{26)}\underline{\phantom{9}104\phantom{}}\\\phantom{26)99}16\\\end{array}$$

Since 16 is less than 26, stop the division. The reminder is 16. The topmost line 0064 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 64.

$$\text{Quotient: }64 \text{Reminder: }16$$

Factor

$$\frac{2 ^ {3} \cdot 3 \cdot 5 \cdot 7}{13} = 64\frac{8}{13} = 64.61538461538461$$