Solve 14400div1444

$$14400 \div 1444$$

Evaluate

$$\frac{3600}{361}\approx 9.972299169$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 14400

$$\begin{array}{l}\phantom{1444)}\phantom{1}\\1444\overline{)14400}\\\end{array}$$

Since 1 is less than 1444, use the next digit 4 from dividend 14400 and add 0 to the quotient

$$\begin{array}{l}\phantom{1444)}0\phantom{2}\\1444\overline{)14400}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 14400

$$\begin{array}{l}\phantom{1444)}0\phantom{3}\\1444\overline{)14400}\\\end{array}$$

Since 14 is less than 1444, use the next digit 4 from dividend 14400 and add 0 to the quotient

$$\begin{array}{l}\phantom{1444)}00\phantom{4}\\1444\overline{)14400}\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 14400

$$\begin{array}{l}\phantom{1444)}00\phantom{5}\\1444\overline{)14400}\\\end{array}$$

Since 144 is less than 1444, use the next digit 0 from dividend 14400 and add 0 to the quotient

$$\begin{array}{l}\phantom{1444)}000\phantom{6}\\1444\overline{)14400}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 14400

$$\begin{array}{l}\phantom{1444)}000\phantom{7}\\1444\overline{)14400}\\\end{array}$$

Since 1440 is less than 1444, use the next digit 0 from dividend 14400 and add 0 to the quotient

$$\begin{array}{l}\phantom{1444)}0000\phantom{8}\\1444\overline{)14400}\\\end{array}$$

Use the 5^{th} digit 0 from dividend 14400

$$\begin{array}{l}\phantom{1444)}0000\phantom{9}\\1444\overline{)14400}\\\end{array}$$

Find closest multiple of 1444 to 14400. We see that 9 \times 1444 = 12996 is the nearest. Now subtract 12996 from 14400 to get reminder 1404. Add 9 to quotient.

$$\begin{array}{l}\phantom{1444)}00009\phantom{10}\\1444\overline{)14400}\\\phantom{1444)}\underline{\phantom{}12996\phantom{}}\\\phantom{1444)9}1404\\\end{array}$$

Since 1404 is less than 1444, stop the division. The reminder is 1404. The topmost line 00009 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 9.

$$\text{Quotient: }9 \text{Reminder: }1404$$

Factor

$$\frac{2 ^ {4} \cdot 3 ^ {2} \cdot 5 ^ {2}}{19 ^ {2}} = 9\frac{351}{361} = 9.97229916897507$$