Solve 666/233

$$\frac{ 666 }{ 233 }$$

Evaluate

$$\frac{666}{233}\approx 2.858369099$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{233)}\phantom{1}\\233\overline{)666}\\\end{array}$$

Since 6 is less than 233, use the next digit 6 from dividend 666 and add 0 to the quotient

$$\begin{array}{l}\phantom{233)}0\phantom{2}\\233\overline{)666}\\\end{array}$$

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

$$\begin{array}{l}\phantom{233)}0\phantom{3}\\233\overline{)666}\\\end{array}$$

Since 66 is less than 233, use the next digit 6 from dividend 666 and add 0 to the quotient

$$\begin{array}{l}\phantom{233)}00\phantom{4}\\233\overline{)666}\\\end{array}$$

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

$$\begin{array}{l}\phantom{233)}00\phantom{5}\\233\overline{)666}\\\end{array}$$

Find closest multiple of 233 to 666. We see that 2 \times 233 = 466 is the nearest. Now subtract 466 from 666 to get reminder 200. Add 2 to quotient.

$$\begin{array}{l}\phantom{233)}002\phantom{6}\\233\overline{)666}\\\phantom{233)}\underline{\phantom{}466\phantom{}}\\\phantom{233)}200\\\end{array}$$

Since 200 is less than 233, stop the division. The reminder is 200. The topmost line 002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }200$$

Factor

$$\frac{2 \cdot 3 ^ {2} \cdot 37}{233} = 2\frac{200}{233} = 2.8583690987124464$$