Solve 5000div11

$$5000 \div 11$$

Evaluate

$$\frac{5000}{11}\approx 454.545454545$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 5000

$$\begin{array}{l}\phantom{11)}\phantom{1}\\11\overline{)5000}\\\end{array}$$

Since 5 is less than 11, use the next digit 0 from dividend 5000 and add 0 to the quotient

$$\begin{array}{l}\phantom{11)}0\phantom{2}\\11\overline{)5000}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 5000

$$\begin{array}{l}\phantom{11)}0\phantom{3}\\11\overline{)5000}\\\end{array}$$

Find closest multiple of 11 to 50. We see that 4 \times 11 = 44 is the nearest. Now subtract 44 from 50 to get reminder 6. Add 4 to quotient.

$$\begin{array}{l}\phantom{11)}04\phantom{4}\\11\overline{)5000}\\\phantom{11)}\underline{\phantom{}44\phantom{99}}\\\phantom{11)9}6\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 5000

$$\begin{array}{l}\phantom{11)}04\phantom{5}\\11\overline{)5000}\\\phantom{11)}\underline{\phantom{}44\phantom{99}}\\\phantom{11)9}60\\\end{array}$$

Find closest multiple of 11 to 60. We see that 5 \times 11 = 55 is the nearest. Now subtract 55 from 60 to get reminder 5. Add 5 to quotient.

$$\begin{array}{l}\phantom{11)}045\phantom{6}\\11\overline{)5000}\\\phantom{11)}\underline{\phantom{}44\phantom{99}}\\\phantom{11)9}60\\\phantom{11)}\underline{\phantom{9}55\phantom{9}}\\\phantom{11)99}5\\\end{array}$$

Use the 4^{th} digit 0 from dividend 5000

$$\begin{array}{l}\phantom{11)}045\phantom{7}\\11\overline{)5000}\\\phantom{11)}\underline{\phantom{}44\phantom{99}}\\\phantom{11)9}60\\\phantom{11)}\underline{\phantom{9}55\phantom{9}}\\\phantom{11)99}50\\\end{array}$$

Find closest multiple of 11 to 50. We see that 4 \times 11 = 44 is the nearest. Now subtract 44 from 50 to get reminder 6. Add 4 to quotient.

$$\begin{array}{l}\phantom{11)}0454\phantom{8}\\11\overline{)5000}\\\phantom{11)}\underline{\phantom{}44\phantom{99}}\\\phantom{11)9}60\\\phantom{11)}\underline{\phantom{9}55\phantom{9}}\\\phantom{11)99}50\\\phantom{11)}\underline{\phantom{99}44\phantom{}}\\\phantom{11)999}6\\\end{array}$$

Since 6 is less than 11, stop the division. The reminder is 6. The topmost line 0454 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 454.

$$\text{Quotient: }454 \text{Reminder: }6$$

Factor

$$\frac{2 ^ {3} \cdot 5 ^ {4}}{11} = 454\frac{6}{11} = 454.54545454545456$$