Solve 14400div65

$$14400 \div 65$$

Evaluate

$$\frac{2880}{13}\approx 221.538461538$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{65)}\phantom{1}\\65\overline{)14400}\\\end{array}$$

Since 1 is less than 65, use the next digit 4 from dividend 14400 and add 0 to the quotient

$$\begin{array}{l}\phantom{65)}0\phantom{2}\\65\overline{)14400}\\\end{array}$$

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

$$\begin{array}{l}\phantom{65)}0\phantom{3}\\65\overline{)14400}\\\end{array}$$

Since 14 is less than 65, use the next digit 4 from dividend 14400 and add 0 to the quotient

$$\begin{array}{l}\phantom{65)}00\phantom{4}\\65\overline{)14400}\\\end{array}$$

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

$$\begin{array}{l}\phantom{65)}00\phantom{5}\\65\overline{)14400}\\\end{array}$$

Find closest multiple of 65 to 144. We see that 2 \times 65 = 130 is the nearest. Now subtract 130 from 144 to get reminder 14. Add 2 to quotient.

$$\begin{array}{l}\phantom{65)}002\phantom{6}\\65\overline{)14400}\\\phantom{65)}\underline{\phantom{}130\phantom{99}}\\\phantom{65)9}14\\\end{array}$$

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

$$\begin{array}{l}\phantom{65)}002\phantom{7}\\65\overline{)14400}\\\phantom{65)}\underline{\phantom{}130\phantom{99}}\\\phantom{65)9}140\\\end{array}$$

Find closest multiple of 65 to 140. We see that 2 \times 65 = 130 is the nearest. Now subtract 130 from 140 to get reminder 10. Add 2 to quotient.

$$\begin{array}{l}\phantom{65)}0022\phantom{8}\\65\overline{)14400}\\\phantom{65)}\underline{\phantom{}130\phantom{99}}\\\phantom{65)9}140\\\phantom{65)}\underline{\phantom{9}130\phantom{9}}\\\phantom{65)99}10\\\end{array}$$

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

$$\begin{array}{l}\phantom{65)}0022\phantom{9}\\65\overline{)14400}\\\phantom{65)}\underline{\phantom{}130\phantom{99}}\\\phantom{65)9}140\\\phantom{65)}\underline{\phantom{9}130\phantom{9}}\\\phantom{65)99}100\\\end{array}$$

Find closest multiple of 65 to 100. We see that 1 \times 65 = 65 is the nearest. Now subtract 65 from 100 to get reminder 35. Add 1 to quotient.

$$\begin{array}{l}\phantom{65)}00221\phantom{10}\\65\overline{)14400}\\\phantom{65)}\underline{\phantom{}130\phantom{99}}\\\phantom{65)9}140\\\phantom{65)}\underline{\phantom{9}130\phantom{9}}\\\phantom{65)99}100\\\phantom{65)}\underline{\phantom{999}65\phantom{}}\\\phantom{65)999}35\\\end{array}$$

Since 35 is less than 65, stop the division. The reminder is 35. The topmost line 00221 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 221.

$$\text{Quotient: }221 \text{Reminder: }35$$

Factor

$$\frac{2 ^ {6} \cdot 3 ^ {2} \cdot 5}{13} = 221\frac{7}{13} = 221.53846153846155$$