Solve {l}{7812}{div33}

$$\left. \begin{array} { l } { 7812 } \\ { \div 33 } \end{array} \right.$$

Evaluate

$$\frac{2604}{11}\approx 236.727272727$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 7812

$$\begin{array}{l}\phantom{33)}\phantom{1}\\33\overline{)7812}\\\end{array}$$

Since 7 is less than 33, use the next digit 8 from dividend 7812 and add 0 to the quotient

$$\begin{array}{l}\phantom{33)}0\phantom{2}\\33\overline{)7812}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 7812

$$\begin{array}{l}\phantom{33)}0\phantom{3}\\33\overline{)7812}\\\end{array}$$

Find closest multiple of 33 to 78. We see that 2 \times 33 = 66 is the nearest. Now subtract 66 from 78 to get reminder 12. Add 2 to quotient.

$$\begin{array}{l}\phantom{33)}02\phantom{4}\\33\overline{)7812}\\\phantom{33)}\underline{\phantom{}66\phantom{99}}\\\phantom{33)}12\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 7812

$$\begin{array}{l}\phantom{33)}02\phantom{5}\\33\overline{)7812}\\\phantom{33)}\underline{\phantom{}66\phantom{99}}\\\phantom{33)}121\\\end{array}$$

Find closest multiple of 33 to 121. We see that 3 \times 33 = 99 is the nearest. Now subtract 99 from 121 to get reminder 22. Add 3 to quotient.

$$\begin{array}{l}\phantom{33)}023\phantom{6}\\33\overline{)7812}\\\phantom{33)}\underline{\phantom{}66\phantom{99}}\\\phantom{33)}121\\\phantom{33)}\underline{\phantom{9}99\phantom{9}}\\\phantom{33)9}22\\\end{array}$$

Use the 4^{th} digit 2 from dividend 7812

$$\begin{array}{l}\phantom{33)}023\phantom{7}\\33\overline{)7812}\\\phantom{33)}\underline{\phantom{}66\phantom{99}}\\\phantom{33)}121\\\phantom{33)}\underline{\phantom{9}99\phantom{9}}\\\phantom{33)9}222\\\end{array}$$

Find closest multiple of 33 to 222. We see that 6 \times 33 = 198 is the nearest. Now subtract 198 from 222 to get reminder 24. Add 6 to quotient.

$$\begin{array}{l}\phantom{33)}0236\phantom{8}\\33\overline{)7812}\\\phantom{33)}\underline{\phantom{}66\phantom{99}}\\\phantom{33)}121\\\phantom{33)}\underline{\phantom{9}99\phantom{9}}\\\phantom{33)9}222\\\phantom{33)}\underline{\phantom{9}198\phantom{}}\\\phantom{33)99}24\\\end{array}$$

Since 24 is less than 33, stop the division. The reminder is 24. The topmost line 0236 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 236.

$$\text{Quotient: }236 \text{Reminder: }24$$

Factor

$$\frac{2 ^ {2} \cdot 3 \cdot 7 \cdot 31}{11} = 236\frac{8}{11} = 236.72727272727272$$