Solve 1280div65

$$1280 \div 65$$

Evaluate

$$\frac{256}{13}\approx 19.692307692$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1280

$$\begin{array}{l}\phantom{65)}\phantom{1}\\65\overline{)1280}\\\end{array}$$

Since 1 is less than 65, use the next digit 2 from dividend 1280 and add 0 to the quotient

$$\begin{array}{l}\phantom{65)}0\phantom{2}\\65\overline{)1280}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 1280

$$\begin{array}{l}\phantom{65)}0\phantom{3}\\65\overline{)1280}\\\end{array}$$

Since 12 is less than 65, use the next digit 8 from dividend 1280 and add 0 to the quotient

$$\begin{array}{l}\phantom{65)}00\phantom{4}\\65\overline{)1280}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 1280

$$\begin{array}{l}\phantom{65)}00\phantom{5}\\65\overline{)1280}\\\end{array}$$

Find closest multiple of 65 to 128. We see that 1 \times 65 = 65 is the nearest. Now subtract 65 from 128 to get reminder 63. Add 1 to quotient.

$$\begin{array}{l}\phantom{65)}001\phantom{6}\\65\overline{)1280}\\\phantom{65)}\underline{\phantom{9}65\phantom{9}}\\\phantom{65)9}63\\\end{array}$$

Use the 4^{th} digit 0 from dividend 1280

$$\begin{array}{l}\phantom{65)}001\phantom{7}\\65\overline{)1280}\\\phantom{65)}\underline{\phantom{9}65\phantom{9}}\\\phantom{65)9}630\\\end{array}$$

Find closest multiple of 65 to 630. We see that 9 \times 65 = 585 is the nearest. Now subtract 585 from 630 to get reminder 45. Add 9 to quotient.

$$\begin{array}{l}\phantom{65)}0019\phantom{8}\\65\overline{)1280}\\\phantom{65)}\underline{\phantom{9}65\phantom{9}}\\\phantom{65)9}630\\\phantom{65)}\underline{\phantom{9}585\phantom{}}\\\phantom{65)99}45\\\end{array}$$

Since 45 is less than 65, stop the division. The reminder is 45. The topmost line 0019 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 19.

$$\text{Quotient: }19 \text{Reminder: }45$$

Factor

$$\frac{2 ^ {8}}{13} = 19\frac{9}{13} = 19.692307692307693$$