Solve 10816div7680

$$10816 \div 7680$$

Evaluate

$$\frac{169}{120}\approx 1.408333333$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 10816

$$\begin{array}{l}\phantom{7680)}\phantom{1}\\7680\overline{)10816}\\\end{array}$$

Since 1 is less than 7680, use the next digit 0 from dividend 10816 and add 0 to the quotient

$$\begin{array}{l}\phantom{7680)}0\phantom{2}\\7680\overline{)10816}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 10816

$$\begin{array}{l}\phantom{7680)}0\phantom{3}\\7680\overline{)10816}\\\end{array}$$

Since 10 is less than 7680, use the next digit 8 from dividend 10816 and add 0 to the quotient

$$\begin{array}{l}\phantom{7680)}00\phantom{4}\\7680\overline{)10816}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 10816

$$\begin{array}{l}\phantom{7680)}00\phantom{5}\\7680\overline{)10816}\\\end{array}$$

Since 108 is less than 7680, use the next digit 1 from dividend 10816 and add 0 to the quotient

$$\begin{array}{l}\phantom{7680)}000\phantom{6}\\7680\overline{)10816}\\\end{array}$$

Use the 4^{th} digit 1 from dividend 10816

$$\begin{array}{l}\phantom{7680)}000\phantom{7}\\7680\overline{)10816}\\\end{array}$$

Since 1081 is less than 7680, use the next digit 6 from dividend 10816 and add 0 to the quotient

$$\begin{array}{l}\phantom{7680)}0000\phantom{8}\\7680\overline{)10816}\\\end{array}$$

Use the 5^{th} digit 6 from dividend 10816

$$\begin{array}{l}\phantom{7680)}0000\phantom{9}\\7680\overline{)10816}\\\end{array}$$

Find closest multiple of 7680 to 10816. We see that 1 \times 7680 = 7680 is the nearest. Now subtract 7680 from 10816 to get reminder 3136. Add 1 to quotient.

$$\begin{array}{l}\phantom{7680)}00001\phantom{10}\\7680\overline{)10816}\\\phantom{7680)}\underline{\phantom{9}7680\phantom{}}\\\phantom{7680)9}3136\\\end{array}$$

Since 3136 is less than 7680, stop the division. The reminder is 3136. The topmost line 00001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }3136$$

Factor

$$\frac{13 ^ {2}}{2 ^ {3} \cdot 3 \cdot 5} = 1\frac{49}{120} = 1.4083333333333334$$