Solve 4884/3500

$$\frac { 4884 } { 3500 }$$

Evaluate

$$\frac{1221}{875}\approx 1.395428571$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 4884

$$\begin{array}{l}\phantom{3500)}\phantom{1}\\3500\overline{)4884}\\\end{array}$$

Since 4 is less than 3500, use the next digit 8 from dividend 4884 and add 0 to the quotient

$$\begin{array}{l}\phantom{3500)}0\phantom{2}\\3500\overline{)4884}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 4884

$$\begin{array}{l}\phantom{3500)}0\phantom{3}\\3500\overline{)4884}\\\end{array}$$

Since 48 is less than 3500, use the next digit 8 from dividend 4884 and add 0 to the quotient

$$\begin{array}{l}\phantom{3500)}00\phantom{4}\\3500\overline{)4884}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 4884

$$\begin{array}{l}\phantom{3500)}00\phantom{5}\\3500\overline{)4884}\\\end{array}$$

Since 488 is less than 3500, use the next digit 4 from dividend 4884 and add 0 to the quotient

$$\begin{array}{l}\phantom{3500)}000\phantom{6}\\3500\overline{)4884}\\\end{array}$$

Use the 4^{th} digit 4 from dividend 4884

$$\begin{array}{l}\phantom{3500)}000\phantom{7}\\3500\overline{)4884}\\\end{array}$$

Find closest multiple of 3500 to 4884. We see that 1 \times 3500 = 3500 is the nearest. Now subtract 3500 from 4884 to get reminder 1384. Add 1 to quotient.

$$\begin{array}{l}\phantom{3500)}0001\phantom{8}\\3500\overline{)4884}\\\phantom{3500)}\underline{\phantom{}3500\phantom{}}\\\phantom{3500)}1384\\\end{array}$$

Since 1384 is less than 3500, stop the division. The reminder is 1384. The topmost line 0001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }1384$$

Factor

$$\frac{3 \cdot 11 \cdot 37}{5 ^ {3} \cdot 7} = 1\frac{346}{875} = 1.3954285714285715$$