Solve 13000div3600

$$13000 \div 3600$$

Evaluate

$$\frac{65}{18}\approx 3.611111111$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 13000

$$\begin{array}{l}\phantom{3600)}\phantom{1}\\3600\overline{)13000}\\\end{array}$$

Since 1 is less than 3600, use the next digit 3 from dividend 13000 and add 0 to the quotient

$$\begin{array}{l}\phantom{3600)}0\phantom{2}\\3600\overline{)13000}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 13000

$$\begin{array}{l}\phantom{3600)}0\phantom{3}\\3600\overline{)13000}\\\end{array}$$

Since 13 is less than 3600, use the next digit 0 from dividend 13000 and add 0 to the quotient

$$\begin{array}{l}\phantom{3600)}00\phantom{4}\\3600\overline{)13000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 13000

$$\begin{array}{l}\phantom{3600)}00\phantom{5}\\3600\overline{)13000}\\\end{array}$$

Since 130 is less than 3600, use the next digit 0 from dividend 13000 and add 0 to the quotient

$$\begin{array}{l}\phantom{3600)}000\phantom{6}\\3600\overline{)13000}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 13000

$$\begin{array}{l}\phantom{3600)}000\phantom{7}\\3600\overline{)13000}\\\end{array}$$

Since 1300 is less than 3600, use the next digit 0 from dividend 13000 and add 0 to the quotient

$$\begin{array}{l}\phantom{3600)}0000\phantom{8}\\3600\overline{)13000}\\\end{array}$$

Use the 5^{th} digit 0 from dividend 13000

$$\begin{array}{l}\phantom{3600)}0000\phantom{9}\\3600\overline{)13000}\\\end{array}$$

Find closest multiple of 3600 to 13000. We see that 3 \times 3600 = 10800 is the nearest. Now subtract 10800 from 13000 to get reminder 2200. Add 3 to quotient.

$$\begin{array}{l}\phantom{3600)}00003\phantom{10}\\3600\overline{)13000}\\\phantom{3600)}\underline{\phantom{}10800\phantom{}}\\\phantom{3600)9}2200\\\end{array}$$

Since 2200 is less than 3600, stop the division. The reminder is 2200. The topmost line 00003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.

$$\text{Quotient: }3 \text{Reminder: }2200$$

Factor

$$\frac{5 \cdot 13}{2 \cdot 3 ^ {2}} = 3\frac{11}{18} = 3.611111111111111$$