Solve 666/248

$$\frac { 666 } { 248 }$$

Evaluate

$$\frac{333}{124}\approx 2.685483871$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 666

$$\begin{array}{l}\phantom{248)}\phantom{1}\\248\overline{)666}\\\end{array}$$

Since 6 is less than 248, use the next digit 6 from dividend 666 and add 0 to the quotient

$$\begin{array}{l}\phantom{248)}0\phantom{2}\\248\overline{)666}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 666

$$\begin{array}{l}\phantom{248)}0\phantom{3}\\248\overline{)666}\\\end{array}$$

Since 66 is less than 248, use the next digit 6 from dividend 666 and add 0 to the quotient

$$\begin{array}{l}\phantom{248)}00\phantom{4}\\248\overline{)666}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 666

$$\begin{array}{l}\phantom{248)}00\phantom{5}\\248\overline{)666}\\\end{array}$$

Find closest multiple of 248 to 666. We see that 2 \times 248 = 496 is the nearest. Now subtract 496 from 666 to get reminder 170. Add 2 to quotient.

$$\begin{array}{l}\phantom{248)}002\phantom{6}\\248\overline{)666}\\\phantom{248)}\underline{\phantom{}496\phantom{}}\\\phantom{248)}170\\\end{array}$$

Since 170 is less than 248, stop the division. The reminder is 170. The topmost line 002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }170$$

Factor

$$\frac{3 ^ {2} \cdot 37}{2 ^ {2} \cdot 31} = 2\frac{85}{124} = 2.685483870967742$$