Solve 53/17

$$\frac { 53 } { 17 }$$

Evaluate

$$\frac{53}{17}\approx 3.117647059$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 53

$$\begin{array}{l}\phantom{17)}\phantom{1}\\17\overline{)53}\\\end{array}$$

Since 5 is less than 17, use the next digit 3 from dividend 53 and add 0 to the quotient

$$\begin{array}{l}\phantom{17)}0\phantom{2}\\17\overline{)53}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 53

$$\begin{array}{l}\phantom{17)}0\phantom{3}\\17\overline{)53}\\\end{array}$$

Find closest multiple of 17 to 53. We see that 3 \times 17 = 51 is the nearest. Now subtract 51 from 53 to get reminder 2. Add 3 to quotient.

$$\begin{array}{l}\phantom{17)}03\phantom{4}\\17\overline{)53}\\\phantom{17)}\underline{\phantom{}51\phantom{}}\\\phantom{17)9}2\\\end{array}$$

Since 2 is less than 17, stop the division. The reminder is 2. The topmost line 03 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.

$$\text{Quotient: }3 \text{Reminder: }2$$

Factor

$$\frac{53}{17} = 3\frac{2}{17} = 3.1176470588235294$$