Solve 196/25

$$\frac { 196 } { 25 }$$

Evaluate

$$\frac{196}{25}=7.84$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 196

$$\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)196}\\\end{array}$$

Since 1 is less than 25, use the next digit 9 from dividend 196 and add 0 to the quotient

$$\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)196}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 196

$$\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)196}\\\end{array}$$

Since 19 is less than 25, use the next digit 6 from dividend 196 and add 0 to the quotient

$$\begin{array}{l}\phantom{25)}00\phantom{4}\\25\overline{)196}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 196

$$\begin{array}{l}\phantom{25)}00\phantom{5}\\25\overline{)196}\\\end{array}$$

Find closest multiple of 25 to 196. We see that 7 \times 25 = 175 is the nearest. Now subtract 175 from 196 to get reminder 21. Add 7 to quotient.

$$\begin{array}{l}\phantom{25)}007\phantom{6}\\25\overline{)196}\\\phantom{25)}\underline{\phantom{}175\phantom{}}\\\phantom{25)9}21\\\end{array}$$

Since 21 is less than 25, stop the division. The reminder is 21. The topmost line 007 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 7.

$$\text{Quotient: }7 \text{Reminder: }21$$

Factor

$$\frac{2 ^ {2} \cdot 7 ^ {2}}{5 ^ {2}} = 7\frac{21}{25} = 7.84$$