Solve 11658div3600

$$11658 \div 3600$$

Evaluate

$$\frac{1943}{600}\approx 3.238333333$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 11658

$$\begin{array}{l}\phantom{3600)}\phantom{1}\\3600\overline{)11658}\\\end{array}$$

Since 1 is less than 3600, use the next digit 1 from dividend 11658 and add 0 to the quotient

$$\begin{array}{l}\phantom{3600)}0\phantom{2}\\3600\overline{)11658}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 11658

$$\begin{array}{l}\phantom{3600)}0\phantom{3}\\3600\overline{)11658}\\\end{array}$$

Since 11 is less than 3600, use the next digit 6 from dividend 11658 and add 0 to the quotient

$$\begin{array}{l}\phantom{3600)}00\phantom{4}\\3600\overline{)11658}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 11658

$$\begin{array}{l}\phantom{3600)}00\phantom{5}\\3600\overline{)11658}\\\end{array}$$

Since 116 is less than 3600, use the next digit 5 from dividend 11658 and add 0 to the quotient

$$\begin{array}{l}\phantom{3600)}000\phantom{6}\\3600\overline{)11658}\\\end{array}$$

Use the 4^{th} digit 5 from dividend 11658

$$\begin{array}{l}\phantom{3600)}000\phantom{7}\\3600\overline{)11658}\\\end{array}$$

Since 1165 is less than 3600, use the next digit 8 from dividend 11658 and add 0 to the quotient

$$\begin{array}{l}\phantom{3600)}0000\phantom{8}\\3600\overline{)11658}\\\end{array}$$

Use the 5^{th} digit 8 from dividend 11658

$$\begin{array}{l}\phantom{3600)}0000\phantom{9}\\3600\overline{)11658}\\\end{array}$$

Find closest multiple of 3600 to 11658. We see that 3 \times 3600 = 10800 is the nearest. Now subtract 10800 from 11658 to get reminder 858. Add 3 to quotient.

$$\begin{array}{l}\phantom{3600)}00003\phantom{10}\\3600\overline{)11658}\\\phantom{3600)}\underline{\phantom{}10800\phantom{}}\\\phantom{3600)99}858\\\end{array}$$

Since 858 is less than 3600, stop the division. The reminder is 858. The topmost line 00003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.

$$\text{Quotient: }3 \text{Reminder: }858$$

Factor

$$\frac{29 \cdot 67}{2 ^ {3} \cdot 3 \cdot 5 ^ {2}} = 3\frac{143}{600} = 3.2383333333333333$$