Solve 10000div7280

$$10000 \div 7280$$

Evaluate

$$\frac{125}{91}\approx 1.373626374$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 10000

$$\begin{array}{l}\phantom{7280)}\phantom{1}\\7280\overline{)10000}\\\end{array}$$

Since 1 is less than 7280, use the next digit 0 from dividend 10000 and add 0 to the quotient

$$\begin{array}{l}\phantom{7280)}0\phantom{2}\\7280\overline{)10000}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 10000

$$\begin{array}{l}\phantom{7280)}0\phantom{3}\\7280\overline{)10000}\\\end{array}$$

Since 10 is less than 7280, use the next digit 0 from dividend 10000 and add 0 to the quotient

$$\begin{array}{l}\phantom{7280)}00\phantom{4}\\7280\overline{)10000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 10000

$$\begin{array}{l}\phantom{7280)}00\phantom{5}\\7280\overline{)10000}\\\end{array}$$

Since 100 is less than 7280, use the next digit 0 from dividend 10000 and add 0 to the quotient

$$\begin{array}{l}\phantom{7280)}000\phantom{6}\\7280\overline{)10000}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 10000

$$\begin{array}{l}\phantom{7280)}000\phantom{7}\\7280\overline{)10000}\\\end{array}$$

Since 1000 is less than 7280, use the next digit 0 from dividend 10000 and add 0 to the quotient

$$\begin{array}{l}\phantom{7280)}0000\phantom{8}\\7280\overline{)10000}\\\end{array}$$

Use the 5^{th} digit 0 from dividend 10000

$$\begin{array}{l}\phantom{7280)}0000\phantom{9}\\7280\overline{)10000}\\\end{array}$$

Find closest multiple of 7280 to 10000. We see that 1 \times 7280 = 7280 is the nearest. Now subtract 7280 from 10000 to get reminder 2720. Add 1 to quotient.

$$\begin{array}{l}\phantom{7280)}00001\phantom{10}\\7280\overline{)10000}\\\phantom{7280)}\underline{\phantom{9}7280\phantom{}}\\\phantom{7280)9}2720\\\end{array}$$

Since 2720 is less than 7280, stop the division. The reminder is 2720. The topmost line 00001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }2720$$

Factor

$$\frac{5 ^ {3}}{7 \cdot 13} = 1\frac{34}{91} = 1.3736263736263736$$