Solve 200/109

$$\frac { 200 } { 109 }$$

Evaluate

$$\frac{200}{109}\approx 1.834862385$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 200

$$\begin{array}{l}\phantom{109)}\phantom{1}\\109\overline{)200}\\\end{array}$$

Since 2 is less than 109, use the next digit 0 from dividend 200 and add 0 to the quotient

$$\begin{array}{l}\phantom{109)}0\phantom{2}\\109\overline{)200}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 200

$$\begin{array}{l}\phantom{109)}0\phantom{3}\\109\overline{)200}\\\end{array}$$

Since 20 is less than 109, use the next digit 0 from dividend 200 and add 0 to the quotient

$$\begin{array}{l}\phantom{109)}00\phantom{4}\\109\overline{)200}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 200

$$\begin{array}{l}\phantom{109)}00\phantom{5}\\109\overline{)200}\\\end{array}$$

Find closest multiple of 109 to 200. We see that 1 \times 109 = 109 is the nearest. Now subtract 109 from 200 to get reminder 91. Add 1 to quotient.

$$\begin{array}{l}\phantom{109)}001\phantom{6}\\109\overline{)200}\\\phantom{109)}\underline{\phantom{}109\phantom{}}\\\phantom{109)9}91\\\end{array}$$

Since 91 is less than 109, stop the division. The reminder is 91. The topmost line 001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }91$$

Factor

$$\frac{2 ^ {3} \cdot 5 ^ {2}}{109} = 1\frac{91}{109} = 1.834862385321101$$