Solve 10000div365=

$$10000 \div 365=$$

Evaluate

$$\frac{2000}{73}\approx 27.397260274$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 10000

$$\begin{array}{l}\phantom{365)}\phantom{1}\\365\overline{)10000}\\\end{array}$$

Since 1 is less than 365, use the next digit 0 from dividend 10000 and add 0 to the quotient

$$\begin{array}{l}\phantom{365)}0\phantom{2}\\365\overline{)10000}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 10000

$$\begin{array}{l}\phantom{365)}0\phantom{3}\\365\overline{)10000}\\\end{array}$$

Since 10 is less than 365, use the next digit 0 from dividend 10000 and add 0 to the quotient

$$\begin{array}{l}\phantom{365)}00\phantom{4}\\365\overline{)10000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 10000

$$\begin{array}{l}\phantom{365)}00\phantom{5}\\365\overline{)10000}\\\end{array}$$

Since 100 is less than 365, use the next digit 0 from dividend 10000 and add 0 to the quotient

$$\begin{array}{l}\phantom{365)}000\phantom{6}\\365\overline{)10000}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 10000

$$\begin{array}{l}\phantom{365)}000\phantom{7}\\365\overline{)10000}\\\end{array}$$

Find closest multiple of 365 to 1000. We see that 2 \times 365 = 730 is the nearest. Now subtract 730 from 1000 to get reminder 270. Add 2 to quotient.

$$\begin{array}{l}\phantom{365)}0002\phantom{8}\\365\overline{)10000}\\\phantom{365)}\underline{\phantom{9}730\phantom{9}}\\\phantom{365)9}270\\\end{array}$$

Use the 5^{th} digit 0 from dividend 10000

$$\begin{array}{l}\phantom{365)}0002\phantom{9}\\365\overline{)10000}\\\phantom{365)}\underline{\phantom{9}730\phantom{9}}\\\phantom{365)9}2700\\\end{array}$$

Find closest multiple of 365 to 2700. We see that 7 \times 365 = 2555 is the nearest. Now subtract 2555 from 2700 to get reminder 145. Add 7 to quotient.

$$\begin{array}{l}\phantom{365)}00027\phantom{10}\\365\overline{)10000}\\\phantom{365)}\underline{\phantom{9}730\phantom{9}}\\\phantom{365)9}2700\\\phantom{365)}\underline{\phantom{9}2555\phantom{}}\\\phantom{365)99}145\\\end{array}$$

Since 145 is less than 365, stop the division. The reminder is 145. The topmost line 00027 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 27.

$$\text{Quotient: }27 \text{Reminder: }145$$

Factor

$$\frac{2 ^ {4} \cdot 5 ^ {3}}{73} = 27\frac{29}{73} = 27.397260273972602$$