Solve 12800/7500

$$\frac { 12800 } { 7500 }$$

Evaluate

$$\frac{128}{75}\approx 1.706666667$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 12800

$$\begin{array}{l}\phantom{7500)}\phantom{1}\\7500\overline{)12800}\\\end{array}$$

Since 1 is less than 7500, use the next digit 2 from dividend 12800 and add 0 to the quotient

$$\begin{array}{l}\phantom{7500)}0\phantom{2}\\7500\overline{)12800}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 12800

$$\begin{array}{l}\phantom{7500)}0\phantom{3}\\7500\overline{)12800}\\\end{array}$$

Since 12 is less than 7500, use the next digit 8 from dividend 12800 and add 0 to the quotient

$$\begin{array}{l}\phantom{7500)}00\phantom{4}\\7500\overline{)12800}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 12800

$$\begin{array}{l}\phantom{7500)}00\phantom{5}\\7500\overline{)12800}\\\end{array}$$

Since 128 is less than 7500, use the next digit 0 from dividend 12800 and add 0 to the quotient

$$\begin{array}{l}\phantom{7500)}000\phantom{6}\\7500\overline{)12800}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 12800

$$\begin{array}{l}\phantom{7500)}000\phantom{7}\\7500\overline{)12800}\\\end{array}$$

Since 1280 is less than 7500, use the next digit 0 from dividend 12800 and add 0 to the quotient

$$\begin{array}{l}\phantom{7500)}0000\phantom{8}\\7500\overline{)12800}\\\end{array}$$

Use the 5^{th} digit 0 from dividend 12800

$$\begin{array}{l}\phantom{7500)}0000\phantom{9}\\7500\overline{)12800}\\\end{array}$$

Find closest multiple of 7500 to 12800. We see that 1 \times 7500 = 7500 is the nearest. Now subtract 7500 from 12800 to get reminder 5300. Add 1 to quotient.

$$\begin{array}{l}\phantom{7500)}00001\phantom{10}\\7500\overline{)12800}\\\phantom{7500)}\underline{\phantom{9}7500\phantom{}}\\\phantom{7500)9}5300\\\end{array}$$

Since 5300 is less than 7500, stop the division. The reminder is 5300. The topmost line 00001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }5300$$

Factor

$$\frac{2 ^ {7}}{3 \cdot 5 ^ {2}} = 1\frac{53}{75} = 1.7066666666666668$$