Solve 65536div40320

$$65536 \div 40320$$

Evaluate

$$\frac{512}{315}\approx 1.625396825$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 65536

$$\begin{array}{l}\phantom{40320)}\phantom{1}\\40320\overline{)65536}\\\end{array}$$

Since 6 is less than 40320, use the next digit 5 from dividend 65536 and add 0 to the quotient

$$\begin{array}{l}\phantom{40320)}0\phantom{2}\\40320\overline{)65536}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 65536

$$\begin{array}{l}\phantom{40320)}0\phantom{3}\\40320\overline{)65536}\\\end{array}$$

Since 65 is less than 40320, use the next digit 5 from dividend 65536 and add 0 to the quotient

$$\begin{array}{l}\phantom{40320)}00\phantom{4}\\40320\overline{)65536}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 65536

$$\begin{array}{l}\phantom{40320)}00\phantom{5}\\40320\overline{)65536}\\\end{array}$$

Since 655 is less than 40320, use the next digit 3 from dividend 65536 and add 0 to the quotient

$$\begin{array}{l}\phantom{40320)}000\phantom{6}\\40320\overline{)65536}\\\end{array}$$

Use the 4^{th} digit 3 from dividend 65536

$$\begin{array}{l}\phantom{40320)}000\phantom{7}\\40320\overline{)65536}\\\end{array}$$

Since 6553 is less than 40320, use the next digit 6 from dividend 65536 and add 0 to the quotient

$$\begin{array}{l}\phantom{40320)}0000\phantom{8}\\40320\overline{)65536}\\\end{array}$$

Use the 5^{th} digit 6 from dividend 65536

$$\begin{array}{l}\phantom{40320)}0000\phantom{9}\\40320\overline{)65536}\\\end{array}$$

Find closest multiple of 40320 to 65536. We see that 1 \times 40320 = 40320 is the nearest. Now subtract 40320 from 65536 to get reminder 25216. Add 1 to quotient.

$$\begin{array}{l}\phantom{40320)}00001\phantom{10}\\40320\overline{)65536}\\\phantom{40320)}\underline{\phantom{}40320\phantom{}}\\\phantom{40320)}25216\\\end{array}$$

Since 25216 is less than 40320, stop the division. The reminder is 25216. The topmost line 00001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }25216$$

Factor

$$\frac{2 ^ {9}}{3 ^ {2} \cdot 5 \cdot 7} = 1\frac{197}{315} = 1.6253968253968254$$