Solve 733/11

$$\frac{ 733 }{ 11 }$$

Evaluate

$$\frac{733}{11}\approx 66.636363636$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 733

$$\begin{array}{l}\phantom{11)}\phantom{1}\\11\overline{)733}\\\end{array}$$

Since 7 is less than 11, use the next digit 3 from dividend 733 and add 0 to the quotient

$$\begin{array}{l}\phantom{11)}0\phantom{2}\\11\overline{)733}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 733

$$\begin{array}{l}\phantom{11)}0\phantom{3}\\11\overline{)733}\\\end{array}$$

Find closest multiple of 11 to 73. We see that 6 \times 11 = 66 is the nearest. Now subtract 66 from 73 to get reminder 7. Add 6 to quotient.

$$\begin{array}{l}\phantom{11)}06\phantom{4}\\11\overline{)733}\\\phantom{11)}\underline{\phantom{}66\phantom{9}}\\\phantom{11)9}7\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 733

$$\begin{array}{l}\phantom{11)}06\phantom{5}\\11\overline{)733}\\\phantom{11)}\underline{\phantom{}66\phantom{9}}\\\phantom{11)9}73\\\end{array}$$

Find closest multiple of 11 to 73. We see that 6 \times 11 = 66 is the nearest. Now subtract 66 from 73 to get reminder 7. Add 6 to quotient.

$$\begin{array}{l}\phantom{11)}066\phantom{6}\\11\overline{)733}\\\phantom{11)}\underline{\phantom{}66\phantom{9}}\\\phantom{11)9}73\\\phantom{11)}\underline{\phantom{9}66\phantom{}}\\\phantom{11)99}7\\\end{array}$$

Since 7 is less than 11, stop the division. The reminder is 7. The topmost line 066 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 66.

$$\text{Quotient: }66 \text{Reminder: }7$$

Factor

$$\frac{733}{11} = 66\frac{7}{11} = 66.63636363636364$$