Solve 2020div365

$$2020 \div 365$$

Evaluate

$$\frac{404}{73}\approx 5.534246575$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2020

$$\begin{array}{l}\phantom{365)}\phantom{1}\\365\overline{)2020}\\\end{array}$$

Since 2 is less than 365, use the next digit 0 from dividend 2020 and add 0 to the quotient

$$\begin{array}{l}\phantom{365)}0\phantom{2}\\365\overline{)2020}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 2020

$$\begin{array}{l}\phantom{365)}0\phantom{3}\\365\overline{)2020}\\\end{array}$$

Since 20 is less than 365, use the next digit 2 from dividend 2020 and add 0 to the quotient

$$\begin{array}{l}\phantom{365)}00\phantom{4}\\365\overline{)2020}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 2020

$$\begin{array}{l}\phantom{365)}00\phantom{5}\\365\overline{)2020}\\\end{array}$$

Since 202 is less than 365, use the next digit 0 from dividend 2020 and add 0 to the quotient

$$\begin{array}{l}\phantom{365)}000\phantom{6}\\365\overline{)2020}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 2020

$$\begin{array}{l}\phantom{365)}000\phantom{7}\\365\overline{)2020}\\\end{array}$$

Find closest multiple of 365 to 2020. We see that 5 \times 365 = 1825 is the nearest. Now subtract 1825 from 2020 to get reminder 195. Add 5 to quotient.

$$\begin{array}{l}\phantom{365)}0005\phantom{8}\\365\overline{)2020}\\\phantom{365)}\underline{\phantom{}1825\phantom{}}\\\phantom{365)9}195\\\end{array}$$

Since 195 is less than 365, stop the division. The reminder is 195. The topmost line 0005 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5.

$$\text{Quotient: }5 \text{Reminder: }195$$

Factor

$$\frac{2 ^ {2} \cdot 101}{73} = 5\frac{39}{73} = 5.534246575342466$$