Solve 1028/27

$$\frac { 1028 } { 27 }$$

Evaluate

$$\frac{1028}{27}\approx 38.074074074$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1028

$$\begin{array}{l}\phantom{27)}\phantom{1}\\27\overline{)1028}\\\end{array}$$

Since 1 is less than 27, use the next digit 0 from dividend 1028 and add 0 to the quotient

$$\begin{array}{l}\phantom{27)}0\phantom{2}\\27\overline{)1028}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 1028

$$\begin{array}{l}\phantom{27)}0\phantom{3}\\27\overline{)1028}\\\end{array}$$

Since 10 is less than 27, use the next digit 2 from dividend 1028 and add 0 to the quotient

$$\begin{array}{l}\phantom{27)}00\phantom{4}\\27\overline{)1028}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 1028

$$\begin{array}{l}\phantom{27)}00\phantom{5}\\27\overline{)1028}\\\end{array}$$

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.

$$\begin{array}{l}\phantom{27)}003\phantom{6}\\27\overline{)1028}\\\phantom{27)}\underline{\phantom{9}81\phantom{9}}\\\phantom{27)9}21\\\end{array}$$

Use the 4^{th} digit 8 from dividend 1028

$$\begin{array}{l}\phantom{27)}003\phantom{7}\\27\overline{)1028}\\\phantom{27)}\underline{\phantom{9}81\phantom{9}}\\\phantom{27)9}218\\\end{array}$$

Find closest multiple of 27 to 218. We see that 8 \times 27 = 216 is the nearest. Now subtract 216 from 218 to get reminder 2. Add 8 to quotient.

$$\begin{array}{l}\phantom{27)}0038\phantom{8}\\27\overline{)1028}\\\phantom{27)}\underline{\phantom{9}81\phantom{9}}\\\phantom{27)9}218\\\phantom{27)}\underline{\phantom{9}216\phantom{}}\\\phantom{27)999}2\\\end{array}$$

Since 2 is less than 27, stop the division. The reminder is 2. The topmost line 0038 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 38.

$$\text{Quotient: }38 \text{Reminder: }2$$

Factor

$$\frac{2 ^ {2} \cdot 257}{3 ^ {3}} = 38\frac{2}{27} = 38.074074074074076$$