Solve 4840/3000

$$\frac { 4840 } { 3000 }$$

Evaluate

$$\frac{121}{75}\approx 1.613333333$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 4840

$$\begin{array}{l}\phantom{3000)}\phantom{1}\\3000\overline{)4840}\\\end{array}$$

Since 4 is less than 3000, use the next digit 8 from dividend 4840 and add 0 to the quotient

$$\begin{array}{l}\phantom{3000)}0\phantom{2}\\3000\overline{)4840}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 4840

$$\begin{array}{l}\phantom{3000)}0\phantom{3}\\3000\overline{)4840}\\\end{array}$$

Since 48 is less than 3000, use the next digit 4 from dividend 4840 and add 0 to the quotient

$$\begin{array}{l}\phantom{3000)}00\phantom{4}\\3000\overline{)4840}\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 4840

$$\begin{array}{l}\phantom{3000)}00\phantom{5}\\3000\overline{)4840}\\\end{array}$$

Since 484 is less than 3000, use the next digit 0 from dividend 4840 and add 0 to the quotient

$$\begin{array}{l}\phantom{3000)}000\phantom{6}\\3000\overline{)4840}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 4840

$$\begin{array}{l}\phantom{3000)}000\phantom{7}\\3000\overline{)4840}\\\end{array}$$

Find closest multiple of 3000 to 4840. We see that 1 \times 3000 = 3000 is the nearest. Now subtract 3000 from 4840 to get reminder 1840. Add 1 to quotient.

$$\begin{array}{l}\phantom{3000)}0001\phantom{8}\\3000\overline{)4840}\\\phantom{3000)}\underline{\phantom{}3000\phantom{}}\\\phantom{3000)}1840\\\end{array}$$

Since 1840 is less than 3000, stop the division. The reminder is 1840. The topmost line 0001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }1840$$

Factor

$$\frac{11 ^ {2}}{3 \cdot 5 ^ {2}} = 1\frac{46}{75} = 1.6133333333333333$$