Solve 205/15

$$\frac { 205 } { 15 }$$

Evaluate

$$\frac{41}{3}\approx 13.666666667$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 205

$$\begin{array}{l}\phantom{15)}\phantom{1}\\15\overline{)205}\\\end{array}$$

Since 2 is less than 15, use the next digit 0 from dividend 205 and add 0 to the quotient

$$\begin{array}{l}\phantom{15)}0\phantom{2}\\15\overline{)205}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 205

$$\begin{array}{l}\phantom{15)}0\phantom{3}\\15\overline{)205}\\\end{array}$$

Find closest multiple of 15 to 20. We see that 1 \times 15 = 15 is the nearest. Now subtract 15 from 20 to get reminder 5. Add 1 to quotient.

$$\begin{array}{l}\phantom{15)}01\phantom{4}\\15\overline{)205}\\\phantom{15)}\underline{\phantom{}15\phantom{9}}\\\phantom{15)9}5\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 205

$$\begin{array}{l}\phantom{15)}01\phantom{5}\\15\overline{)205}\\\phantom{15)}\underline{\phantom{}15\phantom{9}}\\\phantom{15)9}55\\\end{array}$$

Find closest multiple of 15 to 55. We see that 3 \times 15 = 45 is the nearest. Now subtract 45 from 55 to get reminder 10. Add 3 to quotient.

$$\begin{array}{l}\phantom{15)}013\phantom{6}\\15\overline{)205}\\\phantom{15)}\underline{\phantom{}15\phantom{9}}\\\phantom{15)9}55\\\phantom{15)}\underline{\phantom{9}45\phantom{}}\\\phantom{15)9}10\\\end{array}$$

Since 10 is less than 15, stop the division. The reminder is 10. The topmost line 013 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 13.

$$\text{Quotient: }13 \text{Reminder: }10$$

Factor

$$\frac{41}{3} = 13\frac{2}{3} = 13.666666666666666$$