Solve 300div17

$$300 \div 17$$

Evaluate

$$\frac{300}{17}\approx 17.647058824$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 300

$$\begin{array}{l}\phantom{17)}\phantom{1}\\17\overline{)300}\\\end{array}$$

Since 3 is less than 17, use the next digit 0 from dividend 300 and add 0 to the quotient

$$\begin{array}{l}\phantom{17)}0\phantom{2}\\17\overline{)300}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 300

$$\begin{array}{l}\phantom{17)}0\phantom{3}\\17\overline{)300}\\\end{array}$$

Find closest multiple of 17 to 30. We see that 1 \times 17 = 17 is the nearest. Now subtract 17 from 30 to get reminder 13. Add 1 to quotient.

$$\begin{array}{l}\phantom{17)}01\phantom{4}\\17\overline{)300}\\\phantom{17)}\underline{\phantom{}17\phantom{9}}\\\phantom{17)}13\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 300

$$\begin{array}{l}\phantom{17)}01\phantom{5}\\17\overline{)300}\\\phantom{17)}\underline{\phantom{}17\phantom{9}}\\\phantom{17)}130\\\end{array}$$

Find closest multiple of 17 to 130. We see that 7 \times 17 = 119 is the nearest. Now subtract 119 from 130 to get reminder 11. Add 7 to quotient.

$$\begin{array}{l}\phantom{17)}017\phantom{6}\\17\overline{)300}\\\phantom{17)}\underline{\phantom{}17\phantom{9}}\\\phantom{17)}130\\\phantom{17)}\underline{\phantom{}119\phantom{}}\\\phantom{17)9}11\\\end{array}$$

Since 11 is less than 17, stop the division. The reminder is 11. The topmost line 017 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 17.

$$\text{Quotient: }17 \text{Reminder: }11$$

Factor

$$\frac{2 ^ {2} \cdot 3 \cdot 5 ^ {2}}{17} = 17\frac{11}{17} = 17.647058823529413$$