Solve 25000div365

$$25000 \div 365$$

Evaluate

$$\frac{5000}{73}\approx 68.493150685$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 25000

$$\begin{array}{l}\phantom{365)}\phantom{1}\\365\overline{)25000}\\\end{array}$$

Since 2 is less than 365, use the next digit 5 from dividend 25000 and add 0 to the quotient

$$\begin{array}{l}\phantom{365)}0\phantom{2}\\365\overline{)25000}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 25000

$$\begin{array}{l}\phantom{365)}0\phantom{3}\\365\overline{)25000}\\\end{array}$$

Since 25 is less than 365, use the next digit 0 from dividend 25000 and add 0 to the quotient

$$\begin{array}{l}\phantom{365)}00\phantom{4}\\365\overline{)25000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 25000

$$\begin{array}{l}\phantom{365)}00\phantom{5}\\365\overline{)25000}\\\end{array}$$

Since 250 is less than 365, use the next digit 0 from dividend 25000 and add 0 to the quotient

$$\begin{array}{l}\phantom{365)}000\phantom{6}\\365\overline{)25000}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 25000

$$\begin{array}{l}\phantom{365)}000\phantom{7}\\365\overline{)25000}\\\end{array}$$

Find closest multiple of 365 to 2500. We see that 6 \times 365 = 2190 is the nearest. Now subtract 2190 from 2500 to get reminder 310. Add 6 to quotient.

$$\begin{array}{l}\phantom{365)}0006\phantom{8}\\365\overline{)25000}\\\phantom{365)}\underline{\phantom{}2190\phantom{9}}\\\phantom{365)9}310\\\end{array}$$

Use the 5^{th} digit 0 from dividend 25000

$$\begin{array}{l}\phantom{365)}0006\phantom{9}\\365\overline{)25000}\\\phantom{365)}\underline{\phantom{}2190\phantom{9}}\\\phantom{365)9}3100\\\end{array}$$

Find closest multiple of 365 to 3100. We see that 8 \times 365 = 2920 is the nearest. Now subtract 2920 from 3100 to get reminder 180. Add 8 to quotient.

$$\begin{array}{l}\phantom{365)}00068\phantom{10}\\365\overline{)25000}\\\phantom{365)}\underline{\phantom{}2190\phantom{9}}\\\phantom{365)9}3100\\\phantom{365)}\underline{\phantom{9}2920\phantom{}}\\\phantom{365)99}180\\\end{array}$$

Since 180 is less than 365, stop the division. The reminder is 180. The topmost line 00068 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 68.

$$\text{Quotient: }68 \text{Reminder: }180$$

Factor

$$\frac{2 ^ {3} \cdot 5 ^ {4}}{73} = 68\frac{36}{73} = 68.4931506849315$$