Solve 5400/1440

$$\frac { 5400 } { 1440 }$$

Evaluate

$$\frac{15}{4}=3.75$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 5400

$$\begin{array}{l}\phantom{1440)}\phantom{1}\\1440\overline{)5400}\\\end{array}$$

Since 5 is less than 1440, use the next digit 4 from dividend 5400 and add 0 to the quotient

$$\begin{array}{l}\phantom{1440)}0\phantom{2}\\1440\overline{)5400}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 5400

$$\begin{array}{l}\phantom{1440)}0\phantom{3}\\1440\overline{)5400}\\\end{array}$$

Since 54 is less than 1440, use the next digit 0 from dividend 5400 and add 0 to the quotient

$$\begin{array}{l}\phantom{1440)}00\phantom{4}\\1440\overline{)5400}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 5400

$$\begin{array}{l}\phantom{1440)}00\phantom{5}\\1440\overline{)5400}\\\end{array}$$

Since 540 is less than 1440, use the next digit 0 from dividend 5400 and add 0 to the quotient

$$\begin{array}{l}\phantom{1440)}000\phantom{6}\\1440\overline{)5400}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 5400

$$\begin{array}{l}\phantom{1440)}000\phantom{7}\\1440\overline{)5400}\\\end{array}$$

Find closest multiple of 1440 to 5400. We see that 3 \times 1440 = 4320 is the nearest. Now subtract 4320 from 5400 to get reminder 1080. Add 3 to quotient.

$$\begin{array}{l}\phantom{1440)}0003\phantom{8}\\1440\overline{)5400}\\\phantom{1440)}\underline{\phantom{}4320\phantom{}}\\\phantom{1440)}1080\\\end{array}$$

Since 1080 is less than 1440, stop the division. The reminder is 1080. The topmost line 0003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.

$$\text{Quotient: }3 \text{Reminder: }1080$$

Factor

$$\frac{3 \cdot 5}{2 ^ {2}} = 3\frac{3}{4} = 3.75$$