Solve 201div65

$$201 \div 65$$

Evaluate

$$\frac{201}{65}\approx 3.092307692$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 201

$$\begin{array}{l}\phantom{65)}\phantom{1}\\65\overline{)201}\\\end{array}$$

Since 2 is less than 65, use the next digit 0 from dividend 201 and add 0 to the quotient

$$\begin{array}{l}\phantom{65)}0\phantom{2}\\65\overline{)201}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 201

$$\begin{array}{l}\phantom{65)}0\phantom{3}\\65\overline{)201}\\\end{array}$$

Since 20 is less than 65, use the next digit 1 from dividend 201 and add 0 to the quotient

$$\begin{array}{l}\phantom{65)}00\phantom{4}\\65\overline{)201}\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 201

$$\begin{array}{l}\phantom{65)}00\phantom{5}\\65\overline{)201}\\\end{array}$$

Find closest multiple of 65 to 201. We see that 3 \times 65 = 195 is the nearest. Now subtract 195 from 201 to get reminder 6. Add 3 to quotient.

$$\begin{array}{l}\phantom{65)}003\phantom{6}\\65\overline{)201}\\\phantom{65)}\underline{\phantom{}195\phantom{}}\\\phantom{65)99}6\\\end{array}$$

Since 6 is less than 65, stop the division. The reminder is 6. The topmost line 003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.

$$\text{Quotient: }3 \text{Reminder: }6$$

Factor

$$\frac{3 \cdot 67}{5 \cdot 13} = 3\frac{6}{65} = 3.0923076923076924$$