Solve 37/15

$$\frac { 37 } { 15 }$$

Evaluate

$$\frac{37}{15}\approx 2.466666667$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 37

$$\begin{array}{l}\phantom{15)}\phantom{1}\\15\overline{)37}\\\end{array}$$

Since 3 is less than 15, use the next digit 7 from dividend 37 and add 0 to the quotient

$$\begin{array}{l}\phantom{15)}0\phantom{2}\\15\overline{)37}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 37

$$\begin{array}{l}\phantom{15)}0\phantom{3}\\15\overline{)37}\\\end{array}$$

Find closest multiple of 15 to 37. We see that 2 \times 15 = 30 is the nearest. Now subtract 30 from 37 to get reminder 7. Add 2 to quotient.

$$\begin{array}{l}\phantom{15)}02\phantom{4}\\15\overline{)37}\\\phantom{15)}\underline{\phantom{}30\phantom{}}\\\phantom{15)9}7\\\end{array}$$

Since 7 is less than 15, stop the division. The reminder is 7. The topmost line 02 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }7$$

Factor

$$\frac{37}{3 \cdot 5} = 2\frac{7}{15} = 2.466666666666667$$