Solve 200div34=

$$200 \div 34=$$

Evaluate

$$\frac{100}{17}\approx 5.882352941$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{34)}\phantom{1}\\34\overline{)200}\\\end{array}$$

Since 2 is less than 34, use the next digit 0 from dividend 200 and add 0 to the quotient

$$\begin{array}{l}\phantom{34)}0\phantom{2}\\34\overline{)200}\\\end{array}$$

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

$$\begin{array}{l}\phantom{34)}0\phantom{3}\\34\overline{)200}\\\end{array}$$

Since 20 is less than 34, use the next digit 0 from dividend 200 and add 0 to the quotient

$$\begin{array}{l}\phantom{34)}00\phantom{4}\\34\overline{)200}\\\end{array}$$

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

$$\begin{array}{l}\phantom{34)}00\phantom{5}\\34\overline{)200}\\\end{array}$$

Find closest multiple of 34 to 200. We see that 5 \times 34 = 170 is the nearest. Now subtract 170 from 200 to get reminder 30. Add 5 to quotient.

$$\begin{array}{l}\phantom{34)}005\phantom{6}\\34\overline{)200}\\\phantom{34)}\underline{\phantom{}170\phantom{}}\\\phantom{34)9}30\\\end{array}$$

Since 30 is less than 34, stop the division. The reminder is 30. The topmost line 005 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5.

$$\text{Quotient: }5 \text{Reminder: }30$$

Factor

$$\frac{2 ^ {2} \cdot 5 ^ {2}}{17} = 5\frac{15}{17} = 5.882352941176471$$