Solve 8100div11

$$8100 \div 11$$

Evaluate

$$\frac{8100}{11}\approx 736.363636364$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 8100

$$\begin{array}{l}\phantom{11)}\phantom{1}\\11\overline{)8100}\\\end{array}$$

Since 8 is less than 11, use the next digit 1 from dividend 8100 and add 0 to the quotient

$$\begin{array}{l}\phantom{11)}0\phantom{2}\\11\overline{)8100}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 8100

$$\begin{array}{l}\phantom{11)}0\phantom{3}\\11\overline{)8100}\\\end{array}$$

Find closest multiple of 11 to 81. We see that 7 \times 11 = 77 is the nearest. Now subtract 77 from 81 to get reminder 4. Add 7 to quotient.

$$\begin{array}{l}\phantom{11)}07\phantom{4}\\11\overline{)8100}\\\phantom{11)}\underline{\phantom{}77\phantom{99}}\\\phantom{11)9}4\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 8100

$$\begin{array}{l}\phantom{11)}07\phantom{5}\\11\overline{)8100}\\\phantom{11)}\underline{\phantom{}77\phantom{99}}\\\phantom{11)9}40\\\end{array}$$

Find closest multiple of 11 to 40. We see that 3 \times 11 = 33 is the nearest. Now subtract 33 from 40 to get reminder 7. Add 3 to quotient.

$$\begin{array}{l}\phantom{11)}073\phantom{6}\\11\overline{)8100}\\\phantom{11)}\underline{\phantom{}77\phantom{99}}\\\phantom{11)9}40\\\phantom{11)}\underline{\phantom{9}33\phantom{9}}\\\phantom{11)99}7\\\end{array}$$

Use the 4^{th} digit 0 from dividend 8100

$$\begin{array}{l}\phantom{11)}073\phantom{7}\\11\overline{)8100}\\\phantom{11)}\underline{\phantom{}77\phantom{99}}\\\phantom{11)9}40\\\phantom{11)}\underline{\phantom{9}33\phantom{9}}\\\phantom{11)99}70\\\end{array}$$

Find closest multiple of 11 to 70. We see that 6 \times 11 = 66 is the nearest. Now subtract 66 from 70 to get reminder 4. Add 6 to quotient.

$$\begin{array}{l}\phantom{11)}0736\phantom{8}\\11\overline{)8100}\\\phantom{11)}\underline{\phantom{}77\phantom{99}}\\\phantom{11)9}40\\\phantom{11)}\underline{\phantom{9}33\phantom{9}}\\\phantom{11)99}70\\\phantom{11)}\underline{\phantom{99}66\phantom{}}\\\phantom{11)999}4\\\end{array}$$

Since 4 is less than 11, stop the division. The reminder is 4. The topmost line 0736 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 736.

$$\text{Quotient: }736 \text{Reminder: }4$$

Factor

$$\frac{2 ^ {2} \cdot 3 ^ {4} \cdot 5 ^ {2}}{11} = 736\frac{4}{11} = 736.3636363636364$$