Solve 1024div27

$$1024 \div 27$$

Evaluate

$$\frac{1024}{27}\approx 37.925925926$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{27)}\phantom{1}\\27\overline{)1024}\\\end{array}$$

Since 1 is less than 27, use the next digit 0 from dividend 1024 and add 0 to the quotient

$$\begin{array}{l}\phantom{27)}0\phantom{2}\\27\overline{)1024}\\\end{array}$$

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

$$\begin{array}{l}\phantom{27)}0\phantom{3}\\27\overline{)1024}\\\end{array}$$

Since 10 is less than 27, use the next digit 2 from dividend 1024 and add 0 to the quotient

$$\begin{array}{l}\phantom{27)}00\phantom{4}\\27\overline{)1024}\\\end{array}$$

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

$$\begin{array}{l}\phantom{27)}00\phantom{5}\\27\overline{)1024}\\\end{array}$$

Find closest multiple of 27 to 102. We see that 3 \times 27 = 81 is the nearest. Now subtract 81 from 102 to get reminder 21. Add 3 to quotient.

$$\begin{array}{l}\phantom{27)}003\phantom{6}\\27\overline{)1024}\\\phantom{27)}\underline{\phantom{9}81\phantom{9}}\\\phantom{27)9}21\\\end{array}$$

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

$$\begin{array}{l}\phantom{27)}003\phantom{7}\\27\overline{)1024}\\\phantom{27)}\underline{\phantom{9}81\phantom{9}}\\\phantom{27)9}214\\\end{array}$$

Find closest multiple of 27 to 214. We see that 7 \times 27 = 189 is the nearest. Now subtract 189 from 214 to get reminder 25. Add 7 to quotient.

$$\begin{array}{l}\phantom{27)}0037\phantom{8}\\27\overline{)1024}\\\phantom{27)}\underline{\phantom{9}81\phantom{9}}\\\phantom{27)9}214\\\phantom{27)}\underline{\phantom{9}189\phantom{}}\\\phantom{27)99}25\\\end{array}$$

Since 25 is less than 27, stop the division. The reminder is 25. The topmost line 0037 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 37.

$$\text{Quotient: }37 \text{Reminder: }25$$

Factor

$$\frac{2 ^ {10}}{3 ^ {3}} = 37\frac{25}{27} = 37.925925925925924$$