Solve 6849/27

$$\frac { 6849 } { 27 }$$

Evaluate

$$\frac{761}{3}\approx 253.666666667$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 6849

$$\begin{array}{l}\phantom{27)}\phantom{1}\\27\overline{)6849}\\\end{array}$$

Since 6 is less than 27, use the next digit 8 from dividend 6849 and add 0 to the quotient

$$\begin{array}{l}\phantom{27)}0\phantom{2}\\27\overline{)6849}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 6849

$$\begin{array}{l}\phantom{27)}0\phantom{3}\\27\overline{)6849}\\\end{array}$$

Find closest multiple of 27 to 68. We see that 2 \times 27 = 54 is the nearest. Now subtract 54 from 68 to get reminder 14. Add 2 to quotient.

$$\begin{array}{l}\phantom{27)}02\phantom{4}\\27\overline{)6849}\\\phantom{27)}\underline{\phantom{}54\phantom{99}}\\\phantom{27)}14\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 6849

$$\begin{array}{l}\phantom{27)}02\phantom{5}\\27\overline{)6849}\\\phantom{27)}\underline{\phantom{}54\phantom{99}}\\\phantom{27)}144\\\end{array}$$

Find closest multiple of 27 to 144. We see that 5 \times 27 = 135 is the nearest. Now subtract 135 from 144 to get reminder 9. Add 5 to quotient.

$$\begin{array}{l}\phantom{27)}025\phantom{6}\\27\overline{)6849}\\\phantom{27)}\underline{\phantom{}54\phantom{99}}\\\phantom{27)}144\\\phantom{27)}\underline{\phantom{}135\phantom{9}}\\\phantom{27)99}9\\\end{array}$$

Use the 4^{th} digit 9 from dividend 6849

$$\begin{array}{l}\phantom{27)}025\phantom{7}\\27\overline{)6849}\\\phantom{27)}\underline{\phantom{}54\phantom{99}}\\\phantom{27)}144\\\phantom{27)}\underline{\phantom{}135\phantom{9}}\\\phantom{27)99}99\\\end{array}$$

Find closest multiple of 27 to 99. We see that 3 \times 27 = 81 is the nearest. Now subtract 81 from 99 to get reminder 18. Add 3 to quotient.

$$\begin{array}{l}\phantom{27)}0253\phantom{8}\\27\overline{)6849}\\\phantom{27)}\underline{\phantom{}54\phantom{99}}\\\phantom{27)}144\\\phantom{27)}\underline{\phantom{}135\phantom{9}}\\\phantom{27)99}99\\\phantom{27)}\underline{\phantom{99}81\phantom{}}\\\phantom{27)99}18\\\end{array}$$

Since 18 is less than 27, stop the division. The reminder is 18. The topmost line 0253 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 253.

$$\text{Quotient: }253 \text{Reminder: }18$$

Factor

$$\frac{761}{3} = 253\frac{2}{3} = 253.66666666666666$$