Solve 28034:4300

$$28034 : 4300$$

Evaluate

$$\frac{14017}{2150}\approx 6.519534884$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 28034

$$\begin{array}{l}\phantom{4300)}\phantom{1}\\4300\overline{)28034}\\\end{array}$$

Since 2 is less than 4300, use the next digit 8 from dividend 28034 and add 0 to the quotient

$$\begin{array}{l}\phantom{4300)}0\phantom{2}\\4300\overline{)28034}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 28034

$$\begin{array}{l}\phantom{4300)}0\phantom{3}\\4300\overline{)28034}\\\end{array}$$

Since 28 is less than 4300, use the next digit 0 from dividend 28034 and add 0 to the quotient

$$\begin{array}{l}\phantom{4300)}00\phantom{4}\\4300\overline{)28034}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 28034

$$\begin{array}{l}\phantom{4300)}00\phantom{5}\\4300\overline{)28034}\\\end{array}$$

Since 280 is less than 4300, use the next digit 3 from dividend 28034 and add 0 to the quotient

$$\begin{array}{l}\phantom{4300)}000\phantom{6}\\4300\overline{)28034}\\\end{array}$$

Use the 4^{th} digit 3 from dividend 28034

$$\begin{array}{l}\phantom{4300)}000\phantom{7}\\4300\overline{)28034}\\\end{array}$$

Since 2803 is less than 4300, use the next digit 4 from dividend 28034 and add 0 to the quotient

$$\begin{array}{l}\phantom{4300)}0000\phantom{8}\\4300\overline{)28034}\\\end{array}$$

Use the 5^{th} digit 4 from dividend 28034

$$\begin{array}{l}\phantom{4300)}0000\phantom{9}\\4300\overline{)28034}\\\end{array}$$

Find closest multiple of 4300 to 28034. We see that 6 \times 4300 = 25800 is the nearest. Now subtract 25800 from 28034 to get reminder 2234. Add 6 to quotient.

$$\begin{array}{l}\phantom{4300)}00006\phantom{10}\\4300\overline{)28034}\\\phantom{4300)}\underline{\phantom{}25800\phantom{}}\\\phantom{4300)9}2234\\\end{array}$$

Since 2234 is less than 4300, stop the division. The reminder is 2234. The topmost line 00006 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 6.

$$\text{Quotient: }6 \text{Reminder: }2234$$

Factor

$$\frac{107 \cdot 131}{2 \cdot 5 ^ {2} \cdot 43} = 6\frac{1117}{2150} = 6.51953488372093$$