Solve 2880div365

$$2880 \div 365$$

Evaluate

$$\frac{576}{73}\approx 7.890410959$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2880

$$\begin{array}{l}\phantom{365)}\phantom{1}\\365\overline{)2880}\\\end{array}$$

Since 2 is less than 365, use the next digit 8 from dividend 2880 and add 0 to the quotient

$$\begin{array}{l}\phantom{365)}0\phantom{2}\\365\overline{)2880}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 2880

$$\begin{array}{l}\phantom{365)}0\phantom{3}\\365\overline{)2880}\\\end{array}$$

Since 28 is less than 365, use the next digit 8 from dividend 2880 and add 0 to the quotient

$$\begin{array}{l}\phantom{365)}00\phantom{4}\\365\overline{)2880}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 2880

$$\begin{array}{l}\phantom{365)}00\phantom{5}\\365\overline{)2880}\\\end{array}$$

Since 288 is less than 365, use the next digit 0 from dividend 2880 and add 0 to the quotient

$$\begin{array}{l}\phantom{365)}000\phantom{6}\\365\overline{)2880}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 2880

$$\begin{array}{l}\phantom{365)}000\phantom{7}\\365\overline{)2880}\\\end{array}$$

Find closest multiple of 365 to 2880. We see that 7 \times 365 = 2555 is the nearest. Now subtract 2555 from 2880 to get reminder 325. Add 7 to quotient.

$$\begin{array}{l}\phantom{365)}0007\phantom{8}\\365\overline{)2880}\\\phantom{365)}\underline{\phantom{}2555\phantom{}}\\\phantom{365)9}325\\\end{array}$$

Since 325 is less than 365, stop the division. The reminder is 325. The topmost line 0007 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 7.

$$\text{Quotient: }7 \text{Reminder: }325$$

Factor

$$\frac{2 ^ {6} \cdot 3 ^ {2}}{73} = 7\frac{65}{73} = 7.890410958904109$$