Solve 1100:704

$$1100 : 704$$

Evaluate

$$\frac{25}{16}=1.5625$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1100

$$\begin{array}{l}\phantom{704)}\phantom{1}\\704\overline{)1100}\\\end{array}$$

Since 1 is less than 704, use the next digit 1 from dividend 1100 and add 0 to the quotient

$$\begin{array}{l}\phantom{704)}0\phantom{2}\\704\overline{)1100}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 1100

$$\begin{array}{l}\phantom{704)}0\phantom{3}\\704\overline{)1100}\\\end{array}$$

Since 11 is less than 704, use the next digit 0 from dividend 1100 and add 0 to the quotient

$$\begin{array}{l}\phantom{704)}00\phantom{4}\\704\overline{)1100}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 1100

$$\begin{array}{l}\phantom{704)}00\phantom{5}\\704\overline{)1100}\\\end{array}$$

Since 110 is less than 704, use the next digit 0 from dividend 1100 and add 0 to the quotient

$$\begin{array}{l}\phantom{704)}000\phantom{6}\\704\overline{)1100}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 1100

$$\begin{array}{l}\phantom{704)}000\phantom{7}\\704\overline{)1100}\\\end{array}$$

Find closest multiple of 704 to 1100. We see that 1 \times 704 = 704 is the nearest. Now subtract 704 from 1100 to get reminder 396. Add 1 to quotient.

$$\begin{array}{l}\phantom{704)}0001\phantom{8}\\704\overline{)1100}\\\phantom{704)}\underline{\phantom{9}704\phantom{}}\\\phantom{704)9}396\\\end{array}$$

Since 396 is less than 704, stop the division. The reminder is 396. The topmost line 0001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }396$$

Factor

$$\frac{5 ^ {2}}{2 ^ {4}} = 1\frac{9}{16} = 1.5625$$