Solve 1440div247

$$1440 \div 247$$

Evaluate

$$\frac{1440}{247}\approx 5.829959514$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1440

$$\begin{array}{l}\phantom{247)}\phantom{1}\\247\overline{)1440}\\\end{array}$$

Since 1 is less than 247, use the next digit 4 from dividend 1440 and add 0 to the quotient

$$\begin{array}{l}\phantom{247)}0\phantom{2}\\247\overline{)1440}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 1440

$$\begin{array}{l}\phantom{247)}0\phantom{3}\\247\overline{)1440}\\\end{array}$$

Since 14 is less than 247, use the next digit 4 from dividend 1440 and add 0 to the quotient

$$\begin{array}{l}\phantom{247)}00\phantom{4}\\247\overline{)1440}\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 1440

$$\begin{array}{l}\phantom{247)}00\phantom{5}\\247\overline{)1440}\\\end{array}$$

Since 144 is less than 247, use the next digit 0 from dividend 1440 and add 0 to the quotient

$$\begin{array}{l}\phantom{247)}000\phantom{6}\\247\overline{)1440}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 1440

$$\begin{array}{l}\phantom{247)}000\phantom{7}\\247\overline{)1440}\\\end{array}$$

Find closest multiple of 247 to 1440. We see that 5 \times 247 = 1235 is the nearest. Now subtract 1235 from 1440 to get reminder 205. Add 5 to quotient.

$$\begin{array}{l}\phantom{247)}0005\phantom{8}\\247\overline{)1440}\\\phantom{247)}\underline{\phantom{}1235\phantom{}}\\\phantom{247)9}205\\\end{array}$$

Since 205 is less than 247, stop the division. The reminder is 205. The topmost line 0005 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5.

$$\text{Quotient: }5 \text{Reminder: }205$$

Factor

$$\frac{2 ^ {5} \cdot 3 ^ {2} \cdot 5}{13 \cdot 19} = 5\frac{205}{247} = 5.82995951417004$$