Solve 13165div365

$$13165 \div 365$$

Evaluate

$$\frac{2633}{73}\approx 36.068493151$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 13165

$$\begin{array}{l}\phantom{365)}\phantom{1}\\365\overline{)13165}\\\end{array}$$

Since 1 is less than 365, use the next digit 3 from dividend 13165 and add 0 to the quotient

$$\begin{array}{l}\phantom{365)}0\phantom{2}\\365\overline{)13165}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 13165

$$\begin{array}{l}\phantom{365)}0\phantom{3}\\365\overline{)13165}\\\end{array}$$

Since 13 is less than 365, use the next digit 1 from dividend 13165 and add 0 to the quotient

$$\begin{array}{l}\phantom{365)}00\phantom{4}\\365\overline{)13165}\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 13165

$$\begin{array}{l}\phantom{365)}00\phantom{5}\\365\overline{)13165}\\\end{array}$$

Since 131 is less than 365, use the next digit 6 from dividend 13165 and add 0 to the quotient

$$\begin{array}{l}\phantom{365)}000\phantom{6}\\365\overline{)13165}\\\end{array}$$

Use the 4^{th} digit 6 from dividend 13165

$$\begin{array}{l}\phantom{365)}000\phantom{7}\\365\overline{)13165}\\\end{array}$$

Find closest multiple of 365 to 1316. We see that 3 \times 365 = 1095 is the nearest. Now subtract 1095 from 1316 to get reminder 221. Add 3 to quotient.

$$\begin{array}{l}\phantom{365)}0003\phantom{8}\\365\overline{)13165}\\\phantom{365)}\underline{\phantom{}1095\phantom{9}}\\\phantom{365)9}221\\\end{array}$$

Use the 5^{th} digit 5 from dividend 13165

$$\begin{array}{l}\phantom{365)}0003\phantom{9}\\365\overline{)13165}\\\phantom{365)}\underline{\phantom{}1095\phantom{9}}\\\phantom{365)9}2215\\\end{array}$$

Find closest multiple of 365 to 2215. We see that 6 \times 365 = 2190 is the nearest. Now subtract 2190 from 2215 to get reminder 25. Add 6 to quotient.

$$\begin{array}{l}\phantom{365)}00036\phantom{10}\\365\overline{)13165}\\\phantom{365)}\underline{\phantom{}1095\phantom{9}}\\\phantom{365)9}2215\\\phantom{365)}\underline{\phantom{9}2190\phantom{}}\\\phantom{365)999}25\\\end{array}$$

Since 25 is less than 365, stop the division. The reminder is 25. The topmost line 00036 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 36.

$$\text{Quotient: }36 \text{Reminder: }25$$

Factor

$$\frac{2633}{73} = 36\frac{5}{73} = 36.06849315068493$$