Solve 210div27

$$210 \div 27$$

Evaluate

$$\frac{70}{9}\approx 7.777777778$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 210

$$\begin{array}{l}\phantom{27)}\phantom{1}\\27\overline{)210}\\\end{array}$$

Since 2 is less than 27, use the next digit 1 from dividend 210 and add 0 to the quotient

$$\begin{array}{l}\phantom{27)}0\phantom{2}\\27\overline{)210}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 210

$$\begin{array}{l}\phantom{27)}0\phantom{3}\\27\overline{)210}\\\end{array}$$

Since 21 is less than 27, use the next digit 0 from dividend 210 and add 0 to the quotient

$$\begin{array}{l}\phantom{27)}00\phantom{4}\\27\overline{)210}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 210

$$\begin{array}{l}\phantom{27)}00\phantom{5}\\27\overline{)210}\\\end{array}$$

Find closest multiple of 27 to 210. We see that 7 \times 27 = 189 is the nearest. Now subtract 189 from 210 to get reminder 21. Add 7 to quotient.

$$\begin{array}{l}\phantom{27)}007\phantom{6}\\27\overline{)210}\\\phantom{27)}\underline{\phantom{}189\phantom{}}\\\phantom{27)9}21\\\end{array}$$

Since 21 is less than 27, stop the division. The reminder is 21. The topmost line 007 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 7.

$$\text{Quotient: }7 \text{Reminder: }21$$

Factor

$$\frac{2 \cdot 5 \cdot 7}{3 ^ {2}} = 7\frac{7}{9} = 7.777777777777778$$