Solve 197/15

$$\frac { 197 } { 15 }$$

Evaluate

$$\frac{197}{15}\approx 13.133333333$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 197

$$\begin{array}{l}\phantom{15)}\phantom{1}\\15\overline{)197}\\\end{array}$$

Since 1 is less than 15, use the next digit 9 from dividend 197 and add 0 to the quotient

$$\begin{array}{l}\phantom{15)}0\phantom{2}\\15\overline{)197}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 197

$$\begin{array}{l}\phantom{15)}0\phantom{3}\\15\overline{)197}\\\end{array}$$

Find closest multiple of 15 to 19. We see that 1 \times 15 = 15 is the nearest. Now subtract 15 from 19 to get reminder 4. Add 1 to quotient.

$$\begin{array}{l}\phantom{15)}01\phantom{4}\\15\overline{)197}\\\phantom{15)}\underline{\phantom{}15\phantom{9}}\\\phantom{15)9}4\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 197

$$\begin{array}{l}\phantom{15)}01\phantom{5}\\15\overline{)197}\\\phantom{15)}\underline{\phantom{}15\phantom{9}}\\\phantom{15)9}47\\\end{array}$$

Find closest multiple of 15 to 47. We see that 3 \times 15 = 45 is the nearest. Now subtract 45 from 47 to get reminder 2. Add 3 to quotient.

$$\begin{array}{l}\phantom{15)}013\phantom{6}\\15\overline{)197}\\\phantom{15)}\underline{\phantom{}15\phantom{9}}\\\phantom{15)9}47\\\phantom{15)}\underline{\phantom{9}45\phantom{}}\\\phantom{15)99}2\\\end{array}$$

Since 2 is less than 15, stop the division. The reminder is 2. The topmost line 013 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 13.

$$\text{Quotient: }13 \text{Reminder: }2$$

Factor

$$\frac{197}{3 \cdot 5} = 13\frac{2}{15} = 13.133333333333333$$