Solve 1280/720

$$\frac { 1280 } { 720 }$$

Evaluate

$$\frac{16}{9}\approx 1.777777778$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{720)}\phantom{1}\\720\overline{)1280}\\\end{array}$$

Since 1 is less than 720, use the next digit 2 from dividend 1280 and add 0 to the quotient

$$\begin{array}{l}\phantom{720)}0\phantom{2}\\720\overline{)1280}\\\end{array}$$

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

$$\begin{array}{l}\phantom{720)}0\phantom{3}\\720\overline{)1280}\\\end{array}$$

Since 12 is less than 720, use the next digit 8 from dividend 1280 and add 0 to the quotient

$$\begin{array}{l}\phantom{720)}00\phantom{4}\\720\overline{)1280}\\\end{array}$$

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

$$\begin{array}{l}\phantom{720)}00\phantom{5}\\720\overline{)1280}\\\end{array}$$

Since 128 is less than 720, use the next digit 0 from dividend 1280 and add 0 to the quotient

$$\begin{array}{l}\phantom{720)}000\phantom{6}\\720\overline{)1280}\\\end{array}$$

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

$$\begin{array}{l}\phantom{720)}000\phantom{7}\\720\overline{)1280}\\\end{array}$$

Find closest multiple of 720 to 1280. We see that 1 \times 720 = 720 is the nearest. Now subtract 720 from 1280 to get reminder 560. Add 1 to quotient.

$$\begin{array}{l}\phantom{720)}0001\phantom{8}\\720\overline{)1280}\\\phantom{720)}\underline{\phantom{9}720\phantom{}}\\\phantom{720)9}560\\\end{array}$$

Since 560 is less than 720, stop the division. The reminder is 560. The topmost line 0001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }560$$

Factor

$$\frac{2 ^ {4}}{3 ^ {2}} = 1\frac{7}{9} = 1.7777777777777777$$