Solve 8056div11

$$8056 \div 11$$

Evaluate

$$\frac{8056}{11}\approx 732.363636364$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 8056

$$\begin{array}{l}\phantom{11)}\phantom{1}\\11\overline{)8056}\\\end{array}$$

Since 8 is less than 11, use the next digit 0 from dividend 8056 and add 0 to the quotient

$$\begin{array}{l}\phantom{11)}0\phantom{2}\\11\overline{)8056}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 8056

$$\begin{array}{l}\phantom{11)}0\phantom{3}\\11\overline{)8056}\\\end{array}$$

Find closest multiple of 11 to 80. We see that 7 \times 11 = 77 is the nearest. Now subtract 77 from 80 to get reminder 3. Add 7 to quotient.

$$\begin{array}{l}\phantom{11)}07\phantom{4}\\11\overline{)8056}\\\phantom{11)}\underline{\phantom{}77\phantom{99}}\\\phantom{11)9}3\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 8056

$$\begin{array}{l}\phantom{11)}07\phantom{5}\\11\overline{)8056}\\\phantom{11)}\underline{\phantom{}77\phantom{99}}\\\phantom{11)9}35\\\end{array}$$

Find closest multiple of 11 to 35. We see that 3 \times 11 = 33 is the nearest. Now subtract 33 from 35 to get reminder 2. Add 3 to quotient.

$$\begin{array}{l}\phantom{11)}073\phantom{6}\\11\overline{)8056}\\\phantom{11)}\underline{\phantom{}77\phantom{99}}\\\phantom{11)9}35\\\phantom{11)}\underline{\phantom{9}33\phantom{9}}\\\phantom{11)99}2\\\end{array}$$

Use the 4^{th} digit 6 from dividend 8056

$$\begin{array}{l}\phantom{11)}073\phantom{7}\\11\overline{)8056}\\\phantom{11)}\underline{\phantom{}77\phantom{99}}\\\phantom{11)9}35\\\phantom{11)}\underline{\phantom{9}33\phantom{9}}\\\phantom{11)99}26\\\end{array}$$

Find closest multiple of 11 to 26. We see that 2 \times 11 = 22 is the nearest. Now subtract 22 from 26 to get reminder 4. Add 2 to quotient.

$$\begin{array}{l}\phantom{11)}0732\phantom{8}\\11\overline{)8056}\\\phantom{11)}\underline{\phantom{}77\phantom{99}}\\\phantom{11)9}35\\\phantom{11)}\underline{\phantom{9}33\phantom{9}}\\\phantom{11)99}26\\\phantom{11)}\underline{\phantom{99}22\phantom{}}\\\phantom{11)999}4\\\end{array}$$

Since 4 is less than 11, stop the division. The reminder is 4. The topmost line 0732 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 732.

$$\text{Quotient: }732 \text{Reminder: }4$$

Factor

$$\frac{2 ^ {3} \cdot 19 \cdot 53}{11} = 732\frac{4}{11} = 732.3636363636364$$