Solve 861:365

$$861 : 365$$

Evaluate

$$\frac{861}{365}\approx 2.35890411$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 861

$$\begin{array}{l}\phantom{365)}\phantom{1}\\365\overline{)861}\\\end{array}$$

Since 8 is less than 365, use the next digit 6 from dividend 861 and add 0 to the quotient

$$\begin{array}{l}\phantom{365)}0\phantom{2}\\365\overline{)861}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 861

$$\begin{array}{l}\phantom{365)}0\phantom{3}\\365\overline{)861}\\\end{array}$$

Since 86 is less than 365, use the next digit 1 from dividend 861 and add 0 to the quotient

$$\begin{array}{l}\phantom{365)}00\phantom{4}\\365\overline{)861}\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 861

$$\begin{array}{l}\phantom{365)}00\phantom{5}\\365\overline{)861}\\\end{array}$$

Find closest multiple of 365 to 861. We see that 2 \times 365 = 730 is the nearest. Now subtract 730 from 861 to get reminder 131. Add 2 to quotient.

$$\begin{array}{l}\phantom{365)}002\phantom{6}\\365\overline{)861}\\\phantom{365)}\underline{\phantom{}730\phantom{}}\\\phantom{365)}131\\\end{array}$$

Since 131 is less than 365, stop the division. The reminder is 131. The topmost line 002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }131$$

Factor

$$\frac{3 \cdot 7 \cdot 41}{5 \cdot 73} = 2\frac{131}{365} = 2.3589041095890413$$