Solve 14522:727

$$14522 : 727$$

Evaluate

$$\frac{14522}{727}\approx 19.975240715$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 14522

$$\begin{array}{l}\phantom{727)}\phantom{1}\\727\overline{)14522}\\\end{array}$$

Since 1 is less than 727, use the next digit 4 from dividend 14522 and add 0 to the quotient

$$\begin{array}{l}\phantom{727)}0\phantom{2}\\727\overline{)14522}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 14522

$$\begin{array}{l}\phantom{727)}0\phantom{3}\\727\overline{)14522}\\\end{array}$$

Since 14 is less than 727, use the next digit 5 from dividend 14522 and add 0 to the quotient

$$\begin{array}{l}\phantom{727)}00\phantom{4}\\727\overline{)14522}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 14522

$$\begin{array}{l}\phantom{727)}00\phantom{5}\\727\overline{)14522}\\\end{array}$$

Since 145 is less than 727, use the next digit 2 from dividend 14522 and add 0 to the quotient

$$\begin{array}{l}\phantom{727)}000\phantom{6}\\727\overline{)14522}\\\end{array}$$

Use the 4^{th} digit 2 from dividend 14522

$$\begin{array}{l}\phantom{727)}000\phantom{7}\\727\overline{)14522}\\\end{array}$$

Find closest multiple of 727 to 1452. We see that 1 \times 727 = 727 is the nearest. Now subtract 727 from 1452 to get reminder 725. Add 1 to quotient.

$$\begin{array}{l}\phantom{727)}0001\phantom{8}\\727\overline{)14522}\\\phantom{727)}\underline{\phantom{9}727\phantom{9}}\\\phantom{727)9}725\\\end{array}$$

Use the 5^{th} digit 2 from dividend 14522

$$\begin{array}{l}\phantom{727)}0001\phantom{9}\\727\overline{)14522}\\\phantom{727)}\underline{\phantom{9}727\phantom{9}}\\\phantom{727)9}7252\\\end{array}$$

Find closest multiple of 727 to 7252. We see that 9 \times 727 = 6543 is the nearest. Now subtract 6543 from 7252 to get reminder 709. Add 9 to quotient.

$$\begin{array}{l}\phantom{727)}00019\phantom{10}\\727\overline{)14522}\\\phantom{727)}\underline{\phantom{9}727\phantom{9}}\\\phantom{727)9}7252\\\phantom{727)}\underline{\phantom{9}6543\phantom{}}\\\phantom{727)99}709\\\end{array}$$

Since 709 is less than 727, stop the division. The reminder is 709. The topmost line 00019 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 19.

$$\text{Quotient: }19 \text{Reminder: }709$$

Factor

$$\frac{2 \cdot 53 \cdot 137}{727} = 19\frac{709}{727} = 19.975240715268225$$