Solve 8999div365

$$8999 \div 365$$

Evaluate

$$\frac{8999}{365}\approx 24.654794521$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 8999

$$\begin{array}{l}\phantom{365)}\phantom{1}\\365\overline{)8999}\\\end{array}$$

Since 8 is less than 365, use the next digit 9 from dividend 8999 and add 0 to the quotient

$$\begin{array}{l}\phantom{365)}0\phantom{2}\\365\overline{)8999}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 8999

$$\begin{array}{l}\phantom{365)}0\phantom{3}\\365\overline{)8999}\\\end{array}$$

Since 89 is less than 365, use the next digit 9 from dividend 8999 and add 0 to the quotient

$$\begin{array}{l}\phantom{365)}00\phantom{4}\\365\overline{)8999}\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 8999

$$\begin{array}{l}\phantom{365)}00\phantom{5}\\365\overline{)8999}\\\end{array}$$

Find closest multiple of 365 to 899. We see that 2 \times 365 = 730 is the nearest. Now subtract 730 from 899 to get reminder 169. Add 2 to quotient.

$$\begin{array}{l}\phantom{365)}002\phantom{6}\\365\overline{)8999}\\\phantom{365)}\underline{\phantom{}730\phantom{9}}\\\phantom{365)}169\\\end{array}$$

Use the 4^{th} digit 9 from dividend 8999

$$\begin{array}{l}\phantom{365)}002\phantom{7}\\365\overline{)8999}\\\phantom{365)}\underline{\phantom{}730\phantom{9}}\\\phantom{365)}1699\\\end{array}$$

Find closest multiple of 365 to 1699. We see that 4 \times 365 = 1460 is the nearest. Now subtract 1460 from 1699 to get reminder 239. Add 4 to quotient.

$$\begin{array}{l}\phantom{365)}0024\phantom{8}\\365\overline{)8999}\\\phantom{365)}\underline{\phantom{}730\phantom{9}}\\\phantom{365)}1699\\\phantom{365)}\underline{\phantom{}1460\phantom{}}\\\phantom{365)9}239\\\end{array}$$

Since 239 is less than 365, stop the division. The reminder is 239. The topmost line 0024 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 24.

$$\text{Quotient: }24 \text{Reminder: }239$$

Factor

$$\frac{8999}{5 \cdot 73} = 24\frac{239}{365} = 24.654794520547945$$