Solve 19635div300

$$19635 \div 300$$

Evaluate

$$\frac{1309}{20}=65.45$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 19635

$$\begin{array}{l}\phantom{300)}\phantom{1}\\300\overline{)19635}\\\end{array}$$

Since 1 is less than 300, use the next digit 9 from dividend 19635 and add 0 to the quotient

$$\begin{array}{l}\phantom{300)}0\phantom{2}\\300\overline{)19635}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 19635

$$\begin{array}{l}\phantom{300)}0\phantom{3}\\300\overline{)19635}\\\end{array}$$

Since 19 is less than 300, use the next digit 6 from dividend 19635 and add 0 to the quotient

$$\begin{array}{l}\phantom{300)}00\phantom{4}\\300\overline{)19635}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 19635

$$\begin{array}{l}\phantom{300)}00\phantom{5}\\300\overline{)19635}\\\end{array}$$

Since 196 is less than 300, use the next digit 3 from dividend 19635 and add 0 to the quotient

$$\begin{array}{l}\phantom{300)}000\phantom{6}\\300\overline{)19635}\\\end{array}$$

Use the 4^{th} digit 3 from dividend 19635

$$\begin{array}{l}\phantom{300)}000\phantom{7}\\300\overline{)19635}\\\end{array}$$

Find closest multiple of 300 to 1963. We see that 6 \times 300 = 1800 is the nearest. Now subtract 1800 from 1963 to get reminder 163. Add 6 to quotient.

$$\begin{array}{l}\phantom{300)}0006\phantom{8}\\300\overline{)19635}\\\phantom{300)}\underline{\phantom{}1800\phantom{9}}\\\phantom{300)9}163\\\end{array}$$

Use the 5^{th} digit 5 from dividend 19635

$$\begin{array}{l}\phantom{300)}0006\phantom{9}\\300\overline{)19635}\\\phantom{300)}\underline{\phantom{}1800\phantom{9}}\\\phantom{300)9}1635\\\end{array}$$

Find closest multiple of 300 to 1635. We see that 5 \times 300 = 1500 is the nearest. Now subtract 1500 from 1635 to get reminder 135. Add 5 to quotient.

$$\begin{array}{l}\phantom{300)}00065\phantom{10}\\300\overline{)19635}\\\phantom{300)}\underline{\phantom{}1800\phantom{9}}\\\phantom{300)9}1635\\\phantom{300)}\underline{\phantom{9}1500\phantom{}}\\\phantom{300)99}135\\\end{array}$$

Since 135 is less than 300, stop the division. The reminder is 135. The topmost line 00065 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 65.

$$\text{Quotient: }65 \text{Reminder: }135$$

Factor

$$\frac{7 \cdot 11 \cdot 17}{2 ^ {2} \cdot 5} = 65\frac{9}{20} = 65.45$$