Solve 200/51

$$\frac { 200 } { 51 }$$

Evaluate

$$\frac{200}{51}\approx 3.921568627$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{51)}\phantom{1}\\51\overline{)200}\\\end{array}$$

Since 2 is less than 51, use the next digit 0 from dividend 200 and add 0 to the quotient

$$\begin{array}{l}\phantom{51)}0\phantom{2}\\51\overline{)200}\\\end{array}$$

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

$$\begin{array}{l}\phantom{51)}0\phantom{3}\\51\overline{)200}\\\end{array}$$

Since 20 is less than 51, use the next digit 0 from dividend 200 and add 0 to the quotient

$$\begin{array}{l}\phantom{51)}00\phantom{4}\\51\overline{)200}\\\end{array}$$

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

$$\begin{array}{l}\phantom{51)}00\phantom{5}\\51\overline{)200}\\\end{array}$$

Find closest multiple of 51 to 200. We see that 3 \times 51 = 153 is the nearest. Now subtract 153 from 200 to get reminder 47. Add 3 to quotient.

$$\begin{array}{l}\phantom{51)}003\phantom{6}\\51\overline{)200}\\\phantom{51)}\underline{\phantom{}153\phantom{}}\\\phantom{51)9}47\\\end{array}$$

Since 47 is less than 51, stop the division. The reminder is 47. The topmost line 003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.

$$\text{Quotient: }3 \text{Reminder: }47$$

Factor

$$\frac{2 ^ {3} \cdot 5 ^ {2}}{3 \cdot 17} = 3\frac{47}{51} = 3.9215686274509802$$