Solve 2000/425

$$\frac { 2000 } { 425 }$$

Evaluate

$$\frac{80}{17}\approx 4.705882353$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2000

$$\begin{array}{l}\phantom{425)}\phantom{1}\\425\overline{)2000}\\\end{array}$$

Since 2 is less than 425, use the next digit 0 from dividend 2000 and add 0 to the quotient

$$\begin{array}{l}\phantom{425)}0\phantom{2}\\425\overline{)2000}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 2000

$$\begin{array}{l}\phantom{425)}0\phantom{3}\\425\overline{)2000}\\\end{array}$$

Since 20 is less than 425, use the next digit 0 from dividend 2000 and add 0 to the quotient

$$\begin{array}{l}\phantom{425)}00\phantom{4}\\425\overline{)2000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 2000

$$\begin{array}{l}\phantom{425)}00\phantom{5}\\425\overline{)2000}\\\end{array}$$

Since 200 is less than 425, use the next digit 0 from dividend 2000 and add 0 to the quotient

$$\begin{array}{l}\phantom{425)}000\phantom{6}\\425\overline{)2000}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 2000

$$\begin{array}{l}\phantom{425)}000\phantom{7}\\425\overline{)2000}\\\end{array}$$

Find closest multiple of 425 to 2000. We see that 4 \times 425 = 1700 is the nearest. Now subtract 1700 from 2000 to get reminder 300. Add 4 to quotient.

$$\begin{array}{l}\phantom{425)}0004\phantom{8}\\425\overline{)2000}\\\phantom{425)}\underline{\phantom{}1700\phantom{}}\\\phantom{425)9}300\\\end{array}$$

Since 300 is less than 425, stop the division. The reminder is 300. The topmost line 0004 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4.

$$\text{Quotient: }4 \text{Reminder: }300$$

Factor

$$\frac{2 ^ {4} \cdot 5}{17} = 4\frac{12}{17} = 4.705882352941177$$