Solve 4444div666

$$4444 \div 666$$

Evaluate

$$\frac{2222}{333}\approx 6.672672673$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 4444

$$\begin{array}{l}\phantom{666)}\phantom{1}\\666\overline{)4444}\\\end{array}$$

Since 4 is less than 666, use the next digit 4 from dividend 4444 and add 0 to the quotient

$$\begin{array}{l}\phantom{666)}0\phantom{2}\\666\overline{)4444}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 4444

$$\begin{array}{l}\phantom{666)}0\phantom{3}\\666\overline{)4444}\\\end{array}$$

Since 44 is less than 666, use the next digit 4 from dividend 4444 and add 0 to the quotient

$$\begin{array}{l}\phantom{666)}00\phantom{4}\\666\overline{)4444}\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 4444

$$\begin{array}{l}\phantom{666)}00\phantom{5}\\666\overline{)4444}\\\end{array}$$

Since 444 is less than 666, use the next digit 4 from dividend 4444 and add 0 to the quotient

$$\begin{array}{l}\phantom{666)}000\phantom{6}\\666\overline{)4444}\\\end{array}$$

Use the 4^{th} digit 4 from dividend 4444

$$\begin{array}{l}\phantom{666)}000\phantom{7}\\666\overline{)4444}\\\end{array}$$

Find closest multiple of 666 to 4444. We see that 6 \times 666 = 3996 is the nearest. Now subtract 3996 from 4444 to get reminder 448. Add 6 to quotient.

$$\begin{array}{l}\phantom{666)}0006\phantom{8}\\666\overline{)4444}\\\phantom{666)}\underline{\phantom{}3996\phantom{}}\\\phantom{666)9}448\\\end{array}$$

Since 448 is less than 666, stop the division. The reminder is 448. The topmost line 0006 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 6.

$$\text{Quotient: }6 \text{Reminder: }448$$

Factor

$$\frac{2 \cdot 11 \cdot 101}{3 ^ {2} \cdot 37} = 6\frac{224}{333} = 6.672672672672673$$