Solve 14040:45

$$14040 : 45$$

Evaluate

$$312$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 14040

$$\begin{array}{l}\phantom{45)}\phantom{1}\\45\overline{)14040}\\\end{array}$$

Since 1 is less than 45, use the next digit 4 from dividend 14040 and add 0 to the quotient

$$\begin{array}{l}\phantom{45)}0\phantom{2}\\45\overline{)14040}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 14040

$$\begin{array}{l}\phantom{45)}0\phantom{3}\\45\overline{)14040}\\\end{array}$$

Since 14 is less than 45, use the next digit 0 from dividend 14040 and add 0 to the quotient

$$\begin{array}{l}\phantom{45)}00\phantom{4}\\45\overline{)14040}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 14040

$$\begin{array}{l}\phantom{45)}00\phantom{5}\\45\overline{)14040}\\\end{array}$$

Find closest multiple of 45 to 140. We see that 3 \times 45 = 135 is the nearest. Now subtract 135 from 140 to get reminder 5. Add 3 to quotient.

$$\begin{array}{l}\phantom{45)}003\phantom{6}\\45\overline{)14040}\\\phantom{45)}\underline{\phantom{}135\phantom{99}}\\\phantom{45)99}5\\\end{array}$$

Use the 4^{th} digit 4 from dividend 14040

$$\begin{array}{l}\phantom{45)}003\phantom{7}\\45\overline{)14040}\\\phantom{45)}\underline{\phantom{}135\phantom{99}}\\\phantom{45)99}54\\\end{array}$$

Find closest multiple of 45 to 54. We see that 1 \times 45 = 45 is the nearest. Now subtract 45 from 54 to get reminder 9. Add 1 to quotient.

$$\begin{array}{l}\phantom{45)}0031\phantom{8}\\45\overline{)14040}\\\phantom{45)}\underline{\phantom{}135\phantom{99}}\\\phantom{45)99}54\\\phantom{45)}\underline{\phantom{99}45\phantom{9}}\\\phantom{45)999}9\\\end{array}$$

Use the 5^{th} digit 0 from dividend 14040

$$\begin{array}{l}\phantom{45)}0031\phantom{9}\\45\overline{)14040}\\\phantom{45)}\underline{\phantom{}135\phantom{99}}\\\phantom{45)99}54\\\phantom{45)}\underline{\phantom{99}45\phantom{9}}\\\phantom{45)999}90\\\end{array}$$

Find closest multiple of 45 to 90. We see that 2 \times 45 = 90 is the nearest. Now subtract 90 from 90 to get reminder 0. Add 2 to quotient.

$$\begin{array}{l}\phantom{45)}00312\phantom{10}\\45\overline{)14040}\\\phantom{45)}\underline{\phantom{}135\phantom{99}}\\\phantom{45)99}54\\\phantom{45)}\underline{\phantom{99}45\phantom{9}}\\\phantom{45)999}90\\\phantom{45)}\underline{\phantom{999}90\phantom{}}\\\phantom{45)99999}0\\\end{array}$$

Since 0 is less than 45, stop the division. The reminder is 0. The topmost line 00312 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 312.

$$\text{Quotient: }312 \text{Reminder: }0$$

Factor

$$2^{3}\times 3\times 13$$