Solve 40082div1267

$$40082 \div 1267$$

Evaluate

$$\frac{5726}{181}\approx 31.635359116$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 40082

$$\begin{array}{l}\phantom{1267)}\phantom{1}\\1267\overline{)40082}\\\end{array}$$

Since 4 is less than 1267, use the next digit 0 from dividend 40082 and add 0 to the quotient

$$\begin{array}{l}\phantom{1267)}0\phantom{2}\\1267\overline{)40082}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 40082

$$\begin{array}{l}\phantom{1267)}0\phantom{3}\\1267\overline{)40082}\\\end{array}$$

Since 40 is less than 1267, use the next digit 0 from dividend 40082 and add 0 to the quotient

$$\begin{array}{l}\phantom{1267)}00\phantom{4}\\1267\overline{)40082}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 40082

$$\begin{array}{l}\phantom{1267)}00\phantom{5}\\1267\overline{)40082}\\\end{array}$$

Since 400 is less than 1267, use the next digit 8 from dividend 40082 and add 0 to the quotient

$$\begin{array}{l}\phantom{1267)}000\phantom{6}\\1267\overline{)40082}\\\end{array}$$

Use the 4^{th} digit 8 from dividend 40082

$$\begin{array}{l}\phantom{1267)}000\phantom{7}\\1267\overline{)40082}\\\end{array}$$

Find closest multiple of 1267 to 4008. We see that 3 \times 1267 = 3801 is the nearest. Now subtract 3801 from 4008 to get reminder 207. Add 3 to quotient.

$$\begin{array}{l}\phantom{1267)}0003\phantom{8}\\1267\overline{)40082}\\\phantom{1267)}\underline{\phantom{}3801\phantom{9}}\\\phantom{1267)9}207\\\end{array}$$

Use the 5^{th} digit 2 from dividend 40082

$$\begin{array}{l}\phantom{1267)}0003\phantom{9}\\1267\overline{)40082}\\\phantom{1267)}\underline{\phantom{}3801\phantom{9}}\\\phantom{1267)9}2072\\\end{array}$$

Find closest multiple of 1267 to 2072. We see that 1 \times 1267 = 1267 is the nearest. Now subtract 1267 from 2072 to get reminder 805. Add 1 to quotient.

$$\begin{array}{l}\phantom{1267)}00031\phantom{10}\\1267\overline{)40082}\\\phantom{1267)}\underline{\phantom{}3801\phantom{9}}\\\phantom{1267)9}2072\\\phantom{1267)}\underline{\phantom{9}1267\phantom{}}\\\phantom{1267)99}805\\\end{array}$$

Since 805 is less than 1267, stop the division. The reminder is 805. The topmost line 00031 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 31.

$$\text{Quotient: }31 \text{Reminder: }805$$

Factor

$$\frac{2 \cdot 7 \cdot 409}{181} = 31\frac{115}{181} = 31.635359116022098$$