Solve 105div25

$$105 \div 25$$

Evaluate

$$\frac{21}{5}=4.2$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)105}\\\end{array}$$

Since 1 is less than 25, use the next digit 0 from dividend 105 and add 0 to the quotient

$$\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)105}\\\end{array}$$

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

$$\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)105}\\\end{array}$$

Since 10 is less than 25, use the next digit 5 from dividend 105 and add 0 to the quotient

$$\begin{array}{l}\phantom{25)}00\phantom{4}\\25\overline{)105}\\\end{array}$$

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

$$\begin{array}{l}\phantom{25)}00\phantom{5}\\25\overline{)105}\\\end{array}$$

Find closest multiple of 25 to 105. We see that 4 \times 25 = 100 is the nearest. Now subtract 100 from 105 to get reminder 5. Add 4 to quotient.

$$\begin{array}{l}\phantom{25)}004\phantom{6}\\25\overline{)105}\\\phantom{25)}\underline{\phantom{}100\phantom{}}\\\phantom{25)99}5\\\end{array}$$

Since 5 is less than 25, stop the division. The reminder is 5. The topmost line 004 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4.

$$\text{Quotient: }4 \text{Reminder: }5$$

Factor

$$\frac{3 \cdot 7}{5} = 4\frac{1}{5} = 4.2$$