Solve 116/53

$$\frac { 116 } { 53 }$$

Evaluate

$$\frac{116}{53}\approx 2.188679245$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 116

$$\begin{array}{l}\phantom{53)}\phantom{1}\\53\overline{)116}\\\end{array}$$

Since 1 is less than 53, use the next digit 1 from dividend 116 and add 0 to the quotient

$$\begin{array}{l}\phantom{53)}0\phantom{2}\\53\overline{)116}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 116

$$\begin{array}{l}\phantom{53)}0\phantom{3}\\53\overline{)116}\\\end{array}$$

Since 11 is less than 53, use the next digit 6 from dividend 116 and add 0 to the quotient

$$\begin{array}{l}\phantom{53)}00\phantom{4}\\53\overline{)116}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 116

$$\begin{array}{l}\phantom{53)}00\phantom{5}\\53\overline{)116}\\\end{array}$$

Find closest multiple of 53 to 116. We see that 2 \times 53 = 106 is the nearest. Now subtract 106 from 116 to get reminder 10. Add 2 to quotient.

$$\begin{array}{l}\phantom{53)}002\phantom{6}\\53\overline{)116}\\\phantom{53)}\underline{\phantom{}106\phantom{}}\\\phantom{53)9}10\\\end{array}$$

Since 10 is less than 53, stop the division. The reminder is 10. The topmost line 002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }10$$

Factor

$$\frac{2 ^ {2} \cdot 29}{53} = 2\frac{10}{53} = 2.188679245283019$$