Solve 2224/1444

$$\frac { 2224 } { 1444 }$$

Evaluate

$$\frac{556}{361}\approx 1.540166205$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2224

$$\begin{array}{l}\phantom{1444)}\phantom{1}\\1444\overline{)2224}\\\end{array}$$

Since 2 is less than 1444, use the next digit 2 from dividend 2224 and add 0 to the quotient

$$\begin{array}{l}\phantom{1444)}0\phantom{2}\\1444\overline{)2224}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 2224

$$\begin{array}{l}\phantom{1444)}0\phantom{3}\\1444\overline{)2224}\\\end{array}$$

Since 22 is less than 1444, use the next digit 2 from dividend 2224 and add 0 to the quotient

$$\begin{array}{l}\phantom{1444)}00\phantom{4}\\1444\overline{)2224}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 2224

$$\begin{array}{l}\phantom{1444)}00\phantom{5}\\1444\overline{)2224}\\\end{array}$$

Since 222 is less than 1444, use the next digit 4 from dividend 2224 and add 0 to the quotient

$$\begin{array}{l}\phantom{1444)}000\phantom{6}\\1444\overline{)2224}\\\end{array}$$

Use the 4^{th} digit 4 from dividend 2224

$$\begin{array}{l}\phantom{1444)}000\phantom{7}\\1444\overline{)2224}\\\end{array}$$

Find closest multiple of 1444 to 2224. We see that 1 \times 1444 = 1444 is the nearest. Now subtract 1444 from 2224 to get reminder 780. Add 1 to quotient.

$$\begin{array}{l}\phantom{1444)}0001\phantom{8}\\1444\overline{)2224}\\\phantom{1444)}\underline{\phantom{}1444\phantom{}}\\\phantom{1444)9}780\\\end{array}$$

Since 780 is less than 1444, stop the division. The reminder is 780. The topmost line 0001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }780$$

Factor

$$\frac{2 ^ {2} \cdot 139}{19 ^ {2}} = 1\frac{195}{361} = 1.5401662049861495$$