Solve 662div18

$$662 \div 18$$

Evaluate

$$\frac{331}{9}\approx 36.777777778$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 662

$$\begin{array}{l}\phantom{18)}\phantom{1}\\18\overline{)662}\\\end{array}$$

Since 6 is less than 18, use the next digit 6 from dividend 662 and add 0 to the quotient

$$\begin{array}{l}\phantom{18)}0\phantom{2}\\18\overline{)662}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 662

$$\begin{array}{l}\phantom{18)}0\phantom{3}\\18\overline{)662}\\\end{array}$$

Find closest multiple of 18 to 66. We see that 3 \times 18 = 54 is the nearest. Now subtract 54 from 66 to get reminder 12. Add 3 to quotient.

$$\begin{array}{l}\phantom{18)}03\phantom{4}\\18\overline{)662}\\\phantom{18)}\underline{\phantom{}54\phantom{9}}\\\phantom{18)}12\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 662

$$\begin{array}{l}\phantom{18)}03\phantom{5}\\18\overline{)662}\\\phantom{18)}\underline{\phantom{}54\phantom{9}}\\\phantom{18)}122\\\end{array}$$

Find closest multiple of 18 to 122. We see that 6 \times 18 = 108 is the nearest. Now subtract 108 from 122 to get reminder 14. Add 6 to quotient.

$$\begin{array}{l}\phantom{18)}036\phantom{6}\\18\overline{)662}\\\phantom{18)}\underline{\phantom{}54\phantom{9}}\\\phantom{18)}122\\\phantom{18)}\underline{\phantom{}108\phantom{}}\\\phantom{18)9}14\\\end{array}$$

Since 14 is less than 18, stop the division. The reminder is 14. The topmost line 036 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 36.

$$\text{Quotient: }36 \text{Reminder: }14$$

Factor

$$\frac{331}{3 ^ {2}} = 36\frac{7}{9} = 36.77777777777778$$