Solve 187/51

$$\frac { 187 } { 51 }$$

Evaluate

$$\frac{11}{3}\approx 3.666666667$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 187

$$\begin{array}{l}\phantom{51)}\phantom{1}\\51\overline{)187}\\\end{array}$$

Since 1 is less than 51, use the next digit 8 from dividend 187 and add 0 to the quotient

$$\begin{array}{l}\phantom{51)}0\phantom{2}\\51\overline{)187}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 187

$$\begin{array}{l}\phantom{51)}0\phantom{3}\\51\overline{)187}\\\end{array}$$

Since 18 is less than 51, use the next digit 7 from dividend 187 and add 0 to the quotient

$$\begin{array}{l}\phantom{51)}00\phantom{4}\\51\overline{)187}\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 187

$$\begin{array}{l}\phantom{51)}00\phantom{5}\\51\overline{)187}\\\end{array}$$

Find closest multiple of 51 to 187. We see that 3 \times 51 = 153 is the nearest. Now subtract 153 from 187 to get reminder 34. Add 3 to quotient.

$$\begin{array}{l}\phantom{51)}003\phantom{6}\\51\overline{)187}\\\phantom{51)}\underline{\phantom{}153\phantom{}}\\\phantom{51)9}34\\\end{array}$$

Since 34 is less than 51, stop the division. The reminder is 34. The topmost line 003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.

$$\text{Quotient: }3 \text{Reminder: }34$$

Factor

$$\frac{11}{3} = 3\frac{2}{3} = 3.6666666666666665$$