Solve 166/53

$$\frac { 166 } { 53 }$$

Evaluate

$$\frac{166}{53}\approx 3.132075472$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 166

$$\begin{array}{l}\phantom{53)}\phantom{1}\\53\overline{)166}\\\end{array}$$

Since 1 is less than 53, use the next digit 6 from dividend 166 and add 0 to the quotient

$$\begin{array}{l}\phantom{53)}0\phantom{2}\\53\overline{)166}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 166

$$\begin{array}{l}\phantom{53)}0\phantom{3}\\53\overline{)166}\\\end{array}$$

Since 16 is less than 53, use the next digit 6 from dividend 166 and add 0 to the quotient

$$\begin{array}{l}\phantom{53)}00\phantom{4}\\53\overline{)166}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 166

$$\begin{array}{l}\phantom{53)}00\phantom{5}\\53\overline{)166}\\\end{array}$$

Find closest multiple of 53 to 166. We see that 3 \times 53 = 159 is the nearest. Now subtract 159 from 166 to get reminder 7. Add 3 to quotient.

$$\begin{array}{l}\phantom{53)}003\phantom{6}\\53\overline{)166}\\\phantom{53)}\underline{\phantom{}159\phantom{}}\\\phantom{53)99}7\\\end{array}$$

Since 7 is less than 53, stop the division. The reminder is 7. The topmost line 003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.

$$\text{Quotient: }3 \text{Reminder: }7$$

Factor

$$\frac{2 \cdot 83}{53} = 3\frac{7}{53} = 3.1320754716981134$$