Solve 105/14

$$\frac { 105 } { 14 }$$

Evaluate

$$\frac{15}{2}=7.5$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 105

$$\begin{array}{l}\phantom{14)}\phantom{1}\\14\overline{)105}\\\end{array}$$

Since 1 is less than 14, use the next digit 0 from dividend 105 and add 0 to the quotient

$$\begin{array}{l}\phantom{14)}0\phantom{2}\\14\overline{)105}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 105

$$\begin{array}{l}\phantom{14)}0\phantom{3}\\14\overline{)105}\\\end{array}$$

Since 10 is less than 14, use the next digit 5 from dividend 105 and add 0 to the quotient

$$\begin{array}{l}\phantom{14)}00\phantom{4}\\14\overline{)105}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 105

$$\begin{array}{l}\phantom{14)}00\phantom{5}\\14\overline{)105}\\\end{array}$$

Find closest multiple of 14 to 105. We see that 7 \times 14 = 98 is the nearest. Now subtract 98 from 105 to get reminder 7. Add 7 to quotient.

$$\begin{array}{l}\phantom{14)}007\phantom{6}\\14\overline{)105}\\\phantom{14)}\underline{\phantom{9}98\phantom{}}\\\phantom{14)99}7\\\end{array}$$

Since 7 is less than 14, stop the division. The reminder is 7. The topmost line 007 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 7.

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

Factor

$$\frac{3 \cdot 5}{2} = 7\frac{1}{2} = 7.5$$