Solve 303/44

$$\frac { 303 } { 44 }$$

Evaluate

$$\frac{303}{44}\approx 6.886363636$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 303

$$\begin{array}{l}\phantom{44)}\phantom{1}\\44\overline{)303}\\\end{array}$$

Since 3 is less than 44, use the next digit 0 from dividend 303 and add 0 to the quotient

$$\begin{array}{l}\phantom{44)}0\phantom{2}\\44\overline{)303}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 303

$$\begin{array}{l}\phantom{44)}0\phantom{3}\\44\overline{)303}\\\end{array}$$

Since 30 is less than 44, use the next digit 3 from dividend 303 and add 0 to the quotient

$$\begin{array}{l}\phantom{44)}00\phantom{4}\\44\overline{)303}\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 303

$$\begin{array}{l}\phantom{44)}00\phantom{5}\\44\overline{)303}\\\end{array}$$

Find closest multiple of 44 to 303. We see that 6 \times 44 = 264 is the nearest. Now subtract 264 from 303 to get reminder 39. Add 6 to quotient.

$$\begin{array}{l}\phantom{44)}006\phantom{6}\\44\overline{)303}\\\phantom{44)}\underline{\phantom{}264\phantom{}}\\\phantom{44)9}39\\\end{array}$$

Since 39 is less than 44, stop the division. The reminder is 39. The topmost line 006 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 6.

$$\text{Quotient: }6 \text{Reminder: }39$$

Factor

$$\frac{3 \cdot 101}{2 ^ {2} \cdot 11} = 6\frac{39}{44} = 6.886363636363637$$