Solve 16384div5040

$$16384 \div 5040$$

Evaluate

$$\frac{1024}{315}\approx 3.250793651$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 16384

$$\begin{array}{l}\phantom{5040)}\phantom{1}\\5040\overline{)16384}\\\end{array}$$

Since 1 is less than 5040, use the next digit 6 from dividend 16384 and add 0 to the quotient

$$\begin{array}{l}\phantom{5040)}0\phantom{2}\\5040\overline{)16384}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 16384

$$\begin{array}{l}\phantom{5040)}0\phantom{3}\\5040\overline{)16384}\\\end{array}$$

Since 16 is less than 5040, use the next digit 3 from dividend 16384 and add 0 to the quotient

$$\begin{array}{l}\phantom{5040)}00\phantom{4}\\5040\overline{)16384}\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 16384

$$\begin{array}{l}\phantom{5040)}00\phantom{5}\\5040\overline{)16384}\\\end{array}$$

Since 163 is less than 5040, use the next digit 8 from dividend 16384 and add 0 to the quotient

$$\begin{array}{l}\phantom{5040)}000\phantom{6}\\5040\overline{)16384}\\\end{array}$$

Use the 4^{th} digit 8 from dividend 16384

$$\begin{array}{l}\phantom{5040)}000\phantom{7}\\5040\overline{)16384}\\\end{array}$$

Since 1638 is less than 5040, use the next digit 4 from dividend 16384 and add 0 to the quotient

$$\begin{array}{l}\phantom{5040)}0000\phantom{8}\\5040\overline{)16384}\\\end{array}$$

Use the 5^{th} digit 4 from dividend 16384

$$\begin{array}{l}\phantom{5040)}0000\phantom{9}\\5040\overline{)16384}\\\end{array}$$

Find closest multiple of 5040 to 16384. We see that 3 \times 5040 = 15120 is the nearest. Now subtract 15120 from 16384 to get reminder 1264. Add 3 to quotient.

$$\begin{array}{l}\phantom{5040)}00003\phantom{10}\\5040\overline{)16384}\\\phantom{5040)}\underline{\phantom{}15120\phantom{}}\\\phantom{5040)9}1264\\\end{array}$$

Since 1264 is less than 5040, stop the division. The reminder is 1264. The topmost line 00003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.

$$\text{Quotient: }3 \text{Reminder: }1264$$

Factor

$$\frac{2 ^ {10}}{3 ^ {2} \cdot 5 \cdot 7} = 3\frac{79}{315} = 3.250793650793651$$