Solve 1680div27

$$1680 \div 27$$

Evaluate

$$\frac{560}{9}\approx 62.222222222$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1680

$$\begin{array}{l}\phantom{27)}\phantom{1}\\27\overline{)1680}\\\end{array}$$

Since 1 is less than 27, use the next digit 6 from dividend 1680 and add 0 to the quotient

$$\begin{array}{l}\phantom{27)}0\phantom{2}\\27\overline{)1680}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 1680

$$\begin{array}{l}\phantom{27)}0\phantom{3}\\27\overline{)1680}\\\end{array}$$

Since 16 is less than 27, use the next digit 8 from dividend 1680 and add 0 to the quotient

$$\begin{array}{l}\phantom{27)}00\phantom{4}\\27\overline{)1680}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 1680

$$\begin{array}{l}\phantom{27)}00\phantom{5}\\27\overline{)1680}\\\end{array}$$

Find closest multiple of 27 to 168. We see that 6 \times 27 = 162 is the nearest. Now subtract 162 from 168 to get reminder 6. Add 6 to quotient.

$$\begin{array}{l}\phantom{27)}006\phantom{6}\\27\overline{)1680}\\\phantom{27)}\underline{\phantom{}162\phantom{9}}\\\phantom{27)99}6\\\end{array}$$

Use the 4^{th} digit 0 from dividend 1680

$$\begin{array}{l}\phantom{27)}006\phantom{7}\\27\overline{)1680}\\\phantom{27)}\underline{\phantom{}162\phantom{9}}\\\phantom{27)99}60\\\end{array}$$

Find closest multiple of 27 to 60. We see that 2 \times 27 = 54 is the nearest. Now subtract 54 from 60 to get reminder 6. Add 2 to quotient.

$$\begin{array}{l}\phantom{27)}0062\phantom{8}\\27\overline{)1680}\\\phantom{27)}\underline{\phantom{}162\phantom{9}}\\\phantom{27)99}60\\\phantom{27)}\underline{\phantom{99}54\phantom{}}\\\phantom{27)999}6\\\end{array}$$

Since 6 is less than 27, stop the division. The reminder is 6. The topmost line 0062 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 62.

$$\text{Quotient: }62 \text{Reminder: }6$$

Factor

$$\frac{2 ^ {4} \cdot 5 \cdot 7}{3 ^ {2}} = 62\frac{2}{9} = 62.22222222222222$$