Solve 5280/1877

$$\frac { 5280 } { 1877 }$$

Evaluate

$$\frac{5280}{1877}\approx 2.812999467$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 5280

$$\begin{array}{l}\phantom{1877)}\phantom{1}\\1877\overline{)5280}\\\end{array}$$

Since 5 is less than 1877, use the next digit 2 from dividend 5280 and add 0 to the quotient

$$\begin{array}{l}\phantom{1877)}0\phantom{2}\\1877\overline{)5280}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 5280

$$\begin{array}{l}\phantom{1877)}0\phantom{3}\\1877\overline{)5280}\\\end{array}$$

Since 52 is less than 1877, use the next digit 8 from dividend 5280 and add 0 to the quotient

$$\begin{array}{l}\phantom{1877)}00\phantom{4}\\1877\overline{)5280}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 5280

$$\begin{array}{l}\phantom{1877)}00\phantom{5}\\1877\overline{)5280}\\\end{array}$$

Since 528 is less than 1877, use the next digit 0 from dividend 5280 and add 0 to the quotient

$$\begin{array}{l}\phantom{1877)}000\phantom{6}\\1877\overline{)5280}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 5280

$$\begin{array}{l}\phantom{1877)}000\phantom{7}\\1877\overline{)5280}\\\end{array}$$

Find closest multiple of 1877 to 5280. We see that 2 \times 1877 = 3754 is the nearest. Now subtract 3754 from 5280 to get reminder 1526. Add 2 to quotient.

$$\begin{array}{l}\phantom{1877)}0002\phantom{8}\\1877\overline{)5280}\\\phantom{1877)}\underline{\phantom{}3754\phantom{}}\\\phantom{1877)}1526\\\end{array}$$

Since 1526 is less than 1877, stop the division. The reminder is 1526. The topmost line 0002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }1526$$

Factor

$$\frac{2 ^ {5} \cdot 3 \cdot 5 \cdot 11}{1877} = 2\frac{1526}{1877} = 2.8129994672349494$$