Solve 1024div31

$$1024 \div 31$$

Evaluate

$$\frac{1024}{31}\approx 33.032258065$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1024

$$\begin{array}{l}\phantom{31)}\phantom{1}\\31\overline{)1024}\\\end{array}$$

Since 1 is less than 31, use the next digit 0 from dividend 1024 and add 0 to the quotient

$$\begin{array}{l}\phantom{31)}0\phantom{2}\\31\overline{)1024}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 1024

$$\begin{array}{l}\phantom{31)}0\phantom{3}\\31\overline{)1024}\\\end{array}$$

Since 10 is less than 31, use the next digit 2 from dividend 1024 and add 0 to the quotient

$$\begin{array}{l}\phantom{31)}00\phantom{4}\\31\overline{)1024}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 1024

$$\begin{array}{l}\phantom{31)}00\phantom{5}\\31\overline{)1024}\\\end{array}$$

Find closest multiple of 31 to 102. We see that 3 \times 31 = 93 is the nearest. Now subtract 93 from 102 to get reminder 9. Add 3 to quotient.

$$\begin{array}{l}\phantom{31)}003\phantom{6}\\31\overline{)1024}\\\phantom{31)}\underline{\phantom{9}93\phantom{9}}\\\phantom{31)99}9\\\end{array}$$

Use the 4^{th} digit 4 from dividend 1024

$$\begin{array}{l}\phantom{31)}003\phantom{7}\\31\overline{)1024}\\\phantom{31)}\underline{\phantom{9}93\phantom{9}}\\\phantom{31)99}94\\\end{array}$$

Find closest multiple of 31 to 94. We see that 3 \times 31 = 93 is the nearest. Now subtract 93 from 94 to get reminder 1. Add 3 to quotient.

$$\begin{array}{l}\phantom{31)}0033\phantom{8}\\31\overline{)1024}\\\phantom{31)}\underline{\phantom{9}93\phantom{9}}\\\phantom{31)99}94\\\phantom{31)}\underline{\phantom{99}93\phantom{}}\\\phantom{31)999}1\\\end{array}$$

Since 1 is less than 31, stop the division. The reminder is 1. The topmost line 0033 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 33.

$$\text{Quotient: }33 \text{Reminder: }1$$

Factor

$$\frac{2 ^ {10}}{31} = 33\frac{1}{31} = 33.03225806451613$$