Solve 8000/33

$$\frac { 8000 } { 33 }$$

Evaluate

$$\frac{8000}{33}\approx 242.424242424$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 8000

$$\begin{array}{l}\phantom{33)}\phantom{1}\\33\overline{)8000}\\\end{array}$$

Since 8 is less than 33, use the next digit 0 from dividend 8000 and add 0 to the quotient

$$\begin{array}{l}\phantom{33)}0\phantom{2}\\33\overline{)8000}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 8000

$$\begin{array}{l}\phantom{33)}0\phantom{3}\\33\overline{)8000}\\\end{array}$$

Find closest multiple of 33 to 80. We see that 2 \times 33 = 66 is the nearest. Now subtract 66 from 80 to get reminder 14. Add 2 to quotient.

$$\begin{array}{l}\phantom{33)}02\phantom{4}\\33\overline{)8000}\\\phantom{33)}\underline{\phantom{}66\phantom{99}}\\\phantom{33)}14\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 8000

$$\begin{array}{l}\phantom{33)}02\phantom{5}\\33\overline{)8000}\\\phantom{33)}\underline{\phantom{}66\phantom{99}}\\\phantom{33)}140\\\end{array}$$

Find closest multiple of 33 to 140. We see that 4 \times 33 = 132 is the nearest. Now subtract 132 from 140 to get reminder 8. Add 4 to quotient.

$$\begin{array}{l}\phantom{33)}024\phantom{6}\\33\overline{)8000}\\\phantom{33)}\underline{\phantom{}66\phantom{99}}\\\phantom{33)}140\\\phantom{33)}\underline{\phantom{}132\phantom{9}}\\\phantom{33)99}8\\\end{array}$$

Use the 4^{th} digit 0 from dividend 8000

$$\begin{array}{l}\phantom{33)}024\phantom{7}\\33\overline{)8000}\\\phantom{33)}\underline{\phantom{}66\phantom{99}}\\\phantom{33)}140\\\phantom{33)}\underline{\phantom{}132\phantom{9}}\\\phantom{33)99}80\\\end{array}$$

Find closest multiple of 33 to 80. We see that 2 \times 33 = 66 is the nearest. Now subtract 66 from 80 to get reminder 14. Add 2 to quotient.

$$\begin{array}{l}\phantom{33)}0242\phantom{8}\\33\overline{)8000}\\\phantom{33)}\underline{\phantom{}66\phantom{99}}\\\phantom{33)}140\\\phantom{33)}\underline{\phantom{}132\phantom{9}}\\\phantom{33)99}80\\\phantom{33)}\underline{\phantom{99}66\phantom{}}\\\phantom{33)99}14\\\end{array}$$

Since 14 is less than 33, stop the division. The reminder is 14. The topmost line 0242 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 242.

$$\text{Quotient: }242 \text{Reminder: }14$$

Factor

$$\frac{2 ^ {6} \cdot 5 ^ {3}}{3 \cdot 11} = 242\frac{14}{33} = 242.42424242424244$$