Solve 2643/536

$$\frac { 2643 } { 536 }$$

Evaluate

$$\frac{2643}{536}\approx 4.930970149$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2643

$$\begin{array}{l}\phantom{536)}\phantom{1}\\536\overline{)2643}\\\end{array}$$

Since 2 is less than 536, use the next digit 6 from dividend 2643 and add 0 to the quotient

$$\begin{array}{l}\phantom{536)}0\phantom{2}\\536\overline{)2643}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 2643

$$\begin{array}{l}\phantom{536)}0\phantom{3}\\536\overline{)2643}\\\end{array}$$

Since 26 is less than 536, use the next digit 4 from dividend 2643 and add 0 to the quotient

$$\begin{array}{l}\phantom{536)}00\phantom{4}\\536\overline{)2643}\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 2643

$$\begin{array}{l}\phantom{536)}00\phantom{5}\\536\overline{)2643}\\\end{array}$$

Since 264 is less than 536, use the next digit 3 from dividend 2643 and add 0 to the quotient

$$\begin{array}{l}\phantom{536)}000\phantom{6}\\536\overline{)2643}\\\end{array}$$

Use the 4^{th} digit 3 from dividend 2643

$$\begin{array}{l}\phantom{536)}000\phantom{7}\\536\overline{)2643}\\\end{array}$$

Find closest multiple of 536 to 2643. We see that 4 \times 536 = 2144 is the nearest. Now subtract 2144 from 2643 to get reminder 499. Add 4 to quotient.

$$\begin{array}{l}\phantom{536)}0004\phantom{8}\\536\overline{)2643}\\\phantom{536)}\underline{\phantom{}2144\phantom{}}\\\phantom{536)9}499\\\end{array}$$

Since 499 is less than 536, stop the division. The reminder is 499. The topmost line 0004 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4.

$$\text{Quotient: }4 \text{Reminder: }499$$

Factor

$$\frac{3 \cdot 881}{2 ^ {3} \cdot 67} = 4\frac{499}{536} = 4.9309701492537314$$