Solve 289div93

$$289 \div 93$$

Evaluate

$$\frac{289}{93}\approx 3.107526882$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 289

$$\begin{array}{l}\phantom{93)}\phantom{1}\\93\overline{)289}\\\end{array}$$

Since 2 is less than 93, use the next digit 8 from dividend 289 and add 0 to the quotient

$$\begin{array}{l}\phantom{93)}0\phantom{2}\\93\overline{)289}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 289

$$\begin{array}{l}\phantom{93)}0\phantom{3}\\93\overline{)289}\\\end{array}$$

Since 28 is less than 93, use the next digit 9 from dividend 289 and add 0 to the quotient

$$\begin{array}{l}\phantom{93)}00\phantom{4}\\93\overline{)289}\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 289

$$\begin{array}{l}\phantom{93)}00\phantom{5}\\93\overline{)289}\\\end{array}$$

Find closest multiple of 93 to 289. We see that 3 \times 93 = 279 is the nearest. Now subtract 279 from 289 to get reminder 10. Add 3 to quotient.

$$\begin{array}{l}\phantom{93)}003\phantom{6}\\93\overline{)289}\\\phantom{93)}\underline{\phantom{}279\phantom{}}\\\phantom{93)9}10\\\end{array}$$

Since 10 is less than 93, stop the division. The reminder is 10. The topmost line 003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.

$$\text{Quotient: }3 \text{Reminder: }10$$

Factor

$$\frac{17 ^ {2}}{3 \cdot 31} = 3\frac{10}{93} = 3.10752688172043$$