Solve =2449/420

$$= \frac { 2449 } { 420 }$$

Evaluate

$$\frac{2449}{420}\approx 5.830952381$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2449

$$\begin{array}{l}\phantom{420)}\phantom{1}\\420\overline{)2449}\\\end{array}$$

Since 2 is less than 420, use the next digit 4 from dividend 2449 and add 0 to the quotient

$$\begin{array}{l}\phantom{420)}0\phantom{2}\\420\overline{)2449}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 2449

$$\begin{array}{l}\phantom{420)}0\phantom{3}\\420\overline{)2449}\\\end{array}$$

Since 24 is less than 420, use the next digit 4 from dividend 2449 and add 0 to the quotient

$$\begin{array}{l}\phantom{420)}00\phantom{4}\\420\overline{)2449}\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 2449

$$\begin{array}{l}\phantom{420)}00\phantom{5}\\420\overline{)2449}\\\end{array}$$

Since 244 is less than 420, use the next digit 9 from dividend 2449 and add 0 to the quotient

$$\begin{array}{l}\phantom{420)}000\phantom{6}\\420\overline{)2449}\\\end{array}$$

Use the 4^{th} digit 9 from dividend 2449

$$\begin{array}{l}\phantom{420)}000\phantom{7}\\420\overline{)2449}\\\end{array}$$

Find closest multiple of 420 to 2449. We see that 5 \times 420 = 2100 is the nearest. Now subtract 2100 from 2449 to get reminder 349. Add 5 to quotient.

$$\begin{array}{l}\phantom{420)}0005\phantom{8}\\420\overline{)2449}\\\phantom{420)}\underline{\phantom{}2100\phantom{}}\\\phantom{420)9}349\\\end{array}$$

Since 349 is less than 420, stop the division. The reminder is 349. The topmost line 0005 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5.

$$\text{Quotient: }5 \text{Reminder: }349$$

Factor

$$\frac{31 \cdot 79}{2 ^ {2} \cdot 3 \cdot 5 \cdot 7} = 5\frac{349}{420} = 5.830952380952381$$