Solve 10000div3600

$$10000 \div 3600$$

Evaluate

$$\frac{25}{9}\approx 2.777777778$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{3600)}\phantom{1}\\3600\overline{)10000}\\\end{array}$$

Since 1 is less than 3600, use the next digit 0 from dividend 10000 and add 0 to the quotient

$$\begin{array}{l}\phantom{3600)}0\phantom{2}\\3600\overline{)10000}\\\end{array}$$

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

$$\begin{array}{l}\phantom{3600)}0\phantom{3}\\3600\overline{)10000}\\\end{array}$$

Since 10 is less than 3600, use the next digit 0 from dividend 10000 and add 0 to the quotient

$$\begin{array}{l}\phantom{3600)}00\phantom{4}\\3600\overline{)10000}\\\end{array}$$

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

$$\begin{array}{l}\phantom{3600)}00\phantom{5}\\3600\overline{)10000}\\\end{array}$$

Since 100 is less than 3600, use the next digit 0 from dividend 10000 and add 0 to the quotient

$$\begin{array}{l}\phantom{3600)}000\phantom{6}\\3600\overline{)10000}\\\end{array}$$

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

$$\begin{array}{l}\phantom{3600)}000\phantom{7}\\3600\overline{)10000}\\\end{array}$$

Since 1000 is less than 3600, use the next digit 0 from dividend 10000 and add 0 to the quotient

$$\begin{array}{l}\phantom{3600)}0000\phantom{8}\\3600\overline{)10000}\\\end{array}$$

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

$$\begin{array}{l}\phantom{3600)}0000\phantom{9}\\3600\overline{)10000}\\\end{array}$$

Find closest multiple of 3600 to 10000. We see that 2 \times 3600 = 7200 is the nearest. Now subtract 7200 from 10000 to get reminder 2800. Add 2 to quotient.

$$\begin{array}{l}\phantom{3600)}00002\phantom{10}\\3600\overline{)10000}\\\phantom{3600)}\underline{\phantom{9}7200\phantom{}}\\\phantom{3600)9}2800\\\end{array}$$

Since 2800 is less than 3600, stop the division. The reminder is 2800. The topmost line 00002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }2800$$

Factor

$$\frac{5 ^ {2}}{3 ^ {2}} = 2\frac{7}{9} = 2.7777777777777777$$