Solve 126div25

$$126 \div 25$$

Evaluate

$$\frac{126}{25}=5.04$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 126

$$\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)126}\\\end{array}$$

Since 1 is less than 25, use the next digit 2 from dividend 126 and add 0 to the quotient

$$\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)126}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 126

$$\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)126}\\\end{array}$$

Since 12 is less than 25, use the next digit 6 from dividend 126 and add 0 to the quotient

$$\begin{array}{l}\phantom{25)}00\phantom{4}\\25\overline{)126}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 126

$$\begin{array}{l}\phantom{25)}00\phantom{5}\\25\overline{)126}\\\end{array}$$

Find closest multiple of 25 to 126. We see that 5 \times 25 = 125 is the nearest. Now subtract 125 from 126 to get reminder 1. Add 5 to quotient.

$$\begin{array}{l}\phantom{25)}005\phantom{6}\\25\overline{)126}\\\phantom{25)}\underline{\phantom{}125\phantom{}}\\\phantom{25)99}1\\\end{array}$$

Since 1 is less than 25, stop the division. The reminder is 1. The topmost line 005 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5.

$$\text{Quotient: }5 \text{Reminder: }1$$

Factor

$$\frac{2 \cdot 3 ^ {2} \cdot 7}{5 ^ {2}} = 5\frac{1}{25} = 5.04$$