Solve 2000div875

$$2000 \div 875$$

Evaluate

$$\frac{16}{7}\approx 2.285714286$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{875)}\phantom{1}\\875\overline{)2000}\\\end{array}$$

Since 2 is less than 875, use the next digit 0 from dividend 2000 and add 0 to the quotient

$$\begin{array}{l}\phantom{875)}0\phantom{2}\\875\overline{)2000}\\\end{array}$$

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

$$\begin{array}{l}\phantom{875)}0\phantom{3}\\875\overline{)2000}\\\end{array}$$

Since 20 is less than 875, use the next digit 0 from dividend 2000 and add 0 to the quotient

$$\begin{array}{l}\phantom{875)}00\phantom{4}\\875\overline{)2000}\\\end{array}$$

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

$$\begin{array}{l}\phantom{875)}00\phantom{5}\\875\overline{)2000}\\\end{array}$$

Since 200 is less than 875, use the next digit 0 from dividend 2000 and add 0 to the quotient

$$\begin{array}{l}\phantom{875)}000\phantom{6}\\875\overline{)2000}\\\end{array}$$

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

$$\begin{array}{l}\phantom{875)}000\phantom{7}\\875\overline{)2000}\\\end{array}$$

Find closest multiple of 875 to 2000. We see that 2 \times 875 = 1750 is the nearest. Now subtract 1750 from 2000 to get reminder 250. Add 2 to quotient.

$$\begin{array}{l}\phantom{875)}0002\phantom{8}\\875\overline{)2000}\\\phantom{875)}\underline{\phantom{}1750\phantom{}}\\\phantom{875)9}250\\\end{array}$$

Since 250 is less than 875, stop the division. The reminder is 250. The topmost line 0002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }250$$

Factor

$$\frac{2 ^ {4}}{7} = 2\frac{2}{7} = 2.2857142857142856$$