Solve 1869div840

$$1869 \div 840$$

Evaluate

$$\frac{89}{40}=2.225$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1869

$$\begin{array}{l}\phantom{840)}\phantom{1}\\840\overline{)1869}\\\end{array}$$

Since 1 is less than 840, use the next digit 8 from dividend 1869 and add 0 to the quotient

$$\begin{array}{l}\phantom{840)}0\phantom{2}\\840\overline{)1869}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 1869

$$\begin{array}{l}\phantom{840)}0\phantom{3}\\840\overline{)1869}\\\end{array}$$

Since 18 is less than 840, use the next digit 6 from dividend 1869 and add 0 to the quotient

$$\begin{array}{l}\phantom{840)}00\phantom{4}\\840\overline{)1869}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 1869

$$\begin{array}{l}\phantom{840)}00\phantom{5}\\840\overline{)1869}\\\end{array}$$

Since 186 is less than 840, use the next digit 9 from dividend 1869 and add 0 to the quotient

$$\begin{array}{l}\phantom{840)}000\phantom{6}\\840\overline{)1869}\\\end{array}$$

Use the 4^{th} digit 9 from dividend 1869

$$\begin{array}{l}\phantom{840)}000\phantom{7}\\840\overline{)1869}\\\end{array}$$

Find closest multiple of 840 to 1869. We see that 2 \times 840 = 1680 is the nearest. Now subtract 1680 from 1869 to get reminder 189. Add 2 to quotient.

$$\begin{array}{l}\phantom{840)}0002\phantom{8}\\840\overline{)1869}\\\phantom{840)}\underline{\phantom{}1680\phantom{}}\\\phantom{840)9}189\\\end{array}$$

Since 189 is less than 840, stop the division. The reminder is 189. The topmost line 0002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }189$$

Factor

$$\frac{89}{2 ^ {3} \cdot 5} = 2\frac{9}{40} = 2.225$$