Solve 2000div11

$$2000 \div 11$$

Evaluate

$$\frac{2000}{11}\approx 181.818181818$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2000

$$\begin{array}{l}\phantom{11)}\phantom{1}\\11\overline{)2000}\\\end{array}$$

Since 2 is less than 11, use the next digit 0 from dividend 2000 and add 0 to the quotient

$$\begin{array}{l}\phantom{11)}0\phantom{2}\\11\overline{)2000}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 2000

$$\begin{array}{l}\phantom{11)}0\phantom{3}\\11\overline{)2000}\\\end{array}$$

Find closest multiple of 11 to 20. We see that 1 \times 11 = 11 is the nearest. Now subtract 11 from 20 to get reminder 9. Add 1 to quotient.

$$\begin{array}{l}\phantom{11)}01\phantom{4}\\11\overline{)2000}\\\phantom{11)}\underline{\phantom{}11\phantom{99}}\\\phantom{11)9}9\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 2000

$$\begin{array}{l}\phantom{11)}01\phantom{5}\\11\overline{)2000}\\\phantom{11)}\underline{\phantom{}11\phantom{99}}\\\phantom{11)9}90\\\end{array}$$

Find closest multiple of 11 to 90. We see that 8 \times 11 = 88 is the nearest. Now subtract 88 from 90 to get reminder 2. Add 8 to quotient.

$$\begin{array}{l}\phantom{11)}018\phantom{6}\\11\overline{)2000}\\\phantom{11)}\underline{\phantom{}11\phantom{99}}\\\phantom{11)9}90\\\phantom{11)}\underline{\phantom{9}88\phantom{9}}\\\phantom{11)99}2\\\end{array}$$

Use the 4^{th} digit 0 from dividend 2000

$$\begin{array}{l}\phantom{11)}018\phantom{7}\\11\overline{)2000}\\\phantom{11)}\underline{\phantom{}11\phantom{99}}\\\phantom{11)9}90\\\phantom{11)}\underline{\phantom{9}88\phantom{9}}\\\phantom{11)99}20\\\end{array}$$

Find closest multiple of 11 to 20. We see that 1 \times 11 = 11 is the nearest. Now subtract 11 from 20 to get reminder 9. Add 1 to quotient.

$$\begin{array}{l}\phantom{11)}0181\phantom{8}\\11\overline{)2000}\\\phantom{11)}\underline{\phantom{}11\phantom{99}}\\\phantom{11)9}90\\\phantom{11)}\underline{\phantom{9}88\phantom{9}}\\\phantom{11)99}20\\\phantom{11)}\underline{\phantom{99}11\phantom{}}\\\phantom{11)999}9\\\end{array}$$

Since 9 is less than 11, stop the division. The reminder is 9. The topmost line 0181 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 181.

$$\text{Quotient: }181 \text{Reminder: }9$$

Factor

$$\frac{2 ^ {4} \cdot 5 ^ {3}}{11} = 181\frac{9}{11} = 181.8181818181818$$