Solve 126/35

$$\frac { 126 } { 35 }$$

Evaluate

$$\frac{18}{5}=3.6$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{35)}\phantom{1}\\35\overline{)126}\\\end{array}$$

Since 1 is less than 35, use the next digit 2 from dividend 126 and add 0 to the quotient

$$\begin{array}{l}\phantom{35)}0\phantom{2}\\35\overline{)126}\\\end{array}$$

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

$$\begin{array}{l}\phantom{35)}0\phantom{3}\\35\overline{)126}\\\end{array}$$

Since 12 is less than 35, use the next digit 6 from dividend 126 and add 0 to the quotient

$$\begin{array}{l}\phantom{35)}00\phantom{4}\\35\overline{)126}\\\end{array}$$

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

$$\begin{array}{l}\phantom{35)}00\phantom{5}\\35\overline{)126}\\\end{array}$$

Find closest multiple of 35 to 126. We see that 3 \times 35 = 105 is the nearest. Now subtract 105 from 126 to get reminder 21. Add 3 to quotient.

$$\begin{array}{l}\phantom{35)}003\phantom{6}\\35\overline{)126}\\\phantom{35)}\underline{\phantom{}105\phantom{}}\\\phantom{35)9}21\\\end{array}$$

Since 21 is less than 35, stop the division. The reminder is 21. The topmost line 003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.

$$\text{Quotient: }3 \text{Reminder: }21$$

Factor

$$\frac{2 \cdot 3 ^ {2}}{5} = 3\frac{3}{5} = 3.6$$