Solve 31div11=

$$31 \div 11=$$

Evaluate

$$\frac{31}{11}\approx 2.818181818$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 31

$$\begin{array}{l}\phantom{11)}\phantom{1}\\11\overline{)31}\\\end{array}$$

Since 3 is less than 11, use the next digit 1 from dividend 31 and add 0 to the quotient

$$\begin{array}{l}\phantom{11)}0\phantom{2}\\11\overline{)31}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 31

$$\begin{array}{l}\phantom{11)}0\phantom{3}\\11\overline{)31}\\\end{array}$$

Find closest multiple of 11 to 31. We see that 2 \times 11 = 22 is the nearest. Now subtract 22 from 31 to get reminder 9. Add 2 to quotient.

$$\begin{array}{l}\phantom{11)}02\phantom{4}\\11\overline{)31}\\\phantom{11)}\underline{\phantom{}22\phantom{}}\\\phantom{11)9}9\\\end{array}$$

Since 9 is less than 11, stop the division. The reminder is 9. The topmost line 02 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }9$$

Factor

$$\frac{31}{11} = 2\frac{9}{11} = 2.8181818181818183$$