Solve 105/45

$$\frac { 105 } { 45 }$$

Evaluate

$$\frac{7}{3}\approx 2.333333333$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{45)}\phantom{1}\\45\overline{)105}\\\end{array}$$

Since 1 is less than 45, use the next digit 0 from dividend 105 and add 0 to the quotient

$$\begin{array}{l}\phantom{45)}0\phantom{2}\\45\overline{)105}\\\end{array}$$

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

$$\begin{array}{l}\phantom{45)}0\phantom{3}\\45\overline{)105}\\\end{array}$$

Since 10 is less than 45, use the next digit 5 from dividend 105 and add 0 to the quotient

$$\begin{array}{l}\phantom{45)}00\phantom{4}\\45\overline{)105}\\\end{array}$$

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

$$\begin{array}{l}\phantom{45)}00\phantom{5}\\45\overline{)105}\\\end{array}$$

Find closest multiple of 45 to 105. We see that 2 \times 45 = 90 is the nearest. Now subtract 90 from 105 to get reminder 15. Add 2 to quotient.

$$\begin{array}{l}\phantom{45)}002\phantom{6}\\45\overline{)105}\\\phantom{45)}\underline{\phantom{9}90\phantom{}}\\\phantom{45)9}15\\\end{array}$$

Since 15 is less than 45, stop the division. The reminder is 15. The topmost line 002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }15$$

Factor

$$\frac{7}{3} = 2\frac{1}{3} = 2.3333333333333335$$