Solve 2725div365

$$2725 \div 365$$

Evaluate

$$\frac{545}{73}\approx 7.465753425$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2725

$$\begin{array}{l}\phantom{365)}\phantom{1}\\365\overline{)2725}\\\end{array}$$

Since 2 is less than 365, use the next digit 7 from dividend 2725 and add 0 to the quotient

$$\begin{array}{l}\phantom{365)}0\phantom{2}\\365\overline{)2725}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 2725

$$\begin{array}{l}\phantom{365)}0\phantom{3}\\365\overline{)2725}\\\end{array}$$

Since 27 is less than 365, use the next digit 2 from dividend 2725 and add 0 to the quotient

$$\begin{array}{l}\phantom{365)}00\phantom{4}\\365\overline{)2725}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 2725

$$\begin{array}{l}\phantom{365)}00\phantom{5}\\365\overline{)2725}\\\end{array}$$

Since 272 is less than 365, use the next digit 5 from dividend 2725 and add 0 to the quotient

$$\begin{array}{l}\phantom{365)}000\phantom{6}\\365\overline{)2725}\\\end{array}$$

Use the 4^{th} digit 5 from dividend 2725

$$\begin{array}{l}\phantom{365)}000\phantom{7}\\365\overline{)2725}\\\end{array}$$

Find closest multiple of 365 to 2725. We see that 7 \times 365 = 2555 is the nearest. Now subtract 2555 from 2725 to get reminder 170. Add 7 to quotient.

$$\begin{array}{l}\phantom{365)}0007\phantom{8}\\365\overline{)2725}\\\phantom{365)}\underline{\phantom{}2555\phantom{}}\\\phantom{365)9}170\\\end{array}$$

Since 170 is less than 365, stop the division. The reminder is 170. The topmost line 0007 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 7.

$$\text{Quotient: }7 \text{Reminder: }170$$

Factor

$$\frac{5 \cdot 109}{73} = 7\frac{34}{73} = 7.465753424657534$$