Solve 7239div1448

$$7239 \div 1448$$

Evaluate

$$\frac{7239}{1448}\approx 4.999309392$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 7239

$$\begin{array}{l}\phantom{1448)}\phantom{1}\\1448\overline{)7239}\\\end{array}$$

Since 7 is less than 1448, use the next digit 2 from dividend 7239 and add 0 to the quotient

$$\begin{array}{l}\phantom{1448)}0\phantom{2}\\1448\overline{)7239}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 7239

$$\begin{array}{l}\phantom{1448)}0\phantom{3}\\1448\overline{)7239}\\\end{array}$$

Since 72 is less than 1448, use the next digit 3 from dividend 7239 and add 0 to the quotient

$$\begin{array}{l}\phantom{1448)}00\phantom{4}\\1448\overline{)7239}\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 7239

$$\begin{array}{l}\phantom{1448)}00\phantom{5}\\1448\overline{)7239}\\\end{array}$$

Since 723 is less than 1448, use the next digit 9 from dividend 7239 and add 0 to the quotient

$$\begin{array}{l}\phantom{1448)}000\phantom{6}\\1448\overline{)7239}\\\end{array}$$

Use the 4^{th} digit 9 from dividend 7239

$$\begin{array}{l}\phantom{1448)}000\phantom{7}\\1448\overline{)7239}\\\end{array}$$

Find closest multiple of 1448 to 7239. We see that 4 \times 1448 = 5792 is the nearest. Now subtract 5792 from 7239 to get reminder 1447. Add 4 to quotient.

$$\begin{array}{l}\phantom{1448)}0004\phantom{8}\\1448\overline{)7239}\\\phantom{1448)}\underline{\phantom{}5792\phantom{}}\\\phantom{1448)}1447\\\end{array}$$

Since 1447 is less than 1448, stop the division. The reminder is 1447. The topmost line 0004 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4.

$$\text{Quotient: }4 \text{Reminder: }1447$$

Factor

$$\frac{3 \cdot 19 \cdot 127}{2 ^ {3} \cdot 181} = 4\frac{1447}{1448} = 4.999309392265193$$