Solve 2000/81

$$\frac { 2000 } { 81 }$$

Evaluate

$$\frac{2000}{81}\approx 24.691358025$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{81)}\phantom{1}\\81\overline{)2000}\\\end{array}$$

Since 2 is less than 81, use the next digit 0 from dividend 2000 and add 0 to the quotient

$$\begin{array}{l}\phantom{81)}0\phantom{2}\\81\overline{)2000}\\\end{array}$$

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

$$\begin{array}{l}\phantom{81)}0\phantom{3}\\81\overline{)2000}\\\end{array}$$

Since 20 is less than 81, use the next digit 0 from dividend 2000 and add 0 to the quotient

$$\begin{array}{l}\phantom{81)}00\phantom{4}\\81\overline{)2000}\\\end{array}$$

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

$$\begin{array}{l}\phantom{81)}00\phantom{5}\\81\overline{)2000}\\\end{array}$$

Find closest multiple of 81 to 200. We see that 2 \times 81 = 162 is the nearest. Now subtract 162 from 200 to get reminder 38. Add 2 to quotient.

$$\begin{array}{l}\phantom{81)}002\phantom{6}\\81\overline{)2000}\\\phantom{81)}\underline{\phantom{}162\phantom{9}}\\\phantom{81)9}38\\\end{array}$$

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

$$\begin{array}{l}\phantom{81)}002\phantom{7}\\81\overline{)2000}\\\phantom{81)}\underline{\phantom{}162\phantom{9}}\\\phantom{81)9}380\\\end{array}$$

Find closest multiple of 81 to 380. We see that 4 \times 81 = 324 is the nearest. Now subtract 324 from 380 to get reminder 56. Add 4 to quotient.

$$\begin{array}{l}\phantom{81)}0024\phantom{8}\\81\overline{)2000}\\\phantom{81)}\underline{\phantom{}162\phantom{9}}\\\phantom{81)9}380\\\phantom{81)}\underline{\phantom{9}324\phantom{}}\\\phantom{81)99}56\\\end{array}$$

Since 56 is less than 81, stop the division. The reminder is 56. The topmost line 0024 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 24.

$$\text{Quotient: }24 \text{Reminder: }56$$

Factor

$$\frac{2 ^ {4} \cdot 5 ^ {3}}{3 ^ {4}} = 24\frac{56}{81} = 24.691358024691358$$