Solve 1666div365

$$1666 \div 365$$

Evaluate

$$\frac{1666}{365}\approx 4.564383562$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1666

$$\begin{array}{l}\phantom{365)}\phantom{1}\\365\overline{)1666}\\\end{array}$$

Since 1 is less than 365, use the next digit 6 from dividend 1666 and add 0 to the quotient

$$\begin{array}{l}\phantom{365)}0\phantom{2}\\365\overline{)1666}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 1666

$$\begin{array}{l}\phantom{365)}0\phantom{3}\\365\overline{)1666}\\\end{array}$$

Since 16 is less than 365, use the next digit 6 from dividend 1666 and add 0 to the quotient

$$\begin{array}{l}\phantom{365)}00\phantom{4}\\365\overline{)1666}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 1666

$$\begin{array}{l}\phantom{365)}00\phantom{5}\\365\overline{)1666}\\\end{array}$$

Since 166 is less than 365, use the next digit 6 from dividend 1666 and add 0 to the quotient

$$\begin{array}{l}\phantom{365)}000\phantom{6}\\365\overline{)1666}\\\end{array}$$

Use the 4^{th} digit 6 from dividend 1666

$$\begin{array}{l}\phantom{365)}000\phantom{7}\\365\overline{)1666}\\\end{array}$$

Find closest multiple of 365 to 1666. We see that 4 \times 365 = 1460 is the nearest. Now subtract 1460 from 1666 to get reminder 206. Add 4 to quotient.

$$\begin{array}{l}\phantom{365)}0004\phantom{8}\\365\overline{)1666}\\\phantom{365)}\underline{\phantom{}1460\phantom{}}\\\phantom{365)9}206\\\end{array}$$

Since 206 is less than 365, stop the division. The reminder is 206. The topmost line 0004 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4.

$$\text{Quotient: }4 \text{Reminder: }206$$

Factor

$$\frac{2 \cdot 7 ^ {2} \cdot 17}{5 \cdot 73} = 4\frac{206}{365} = 4.564383561643836$$