Solve 513div15

$$513 \div 15$$

Evaluate

$$\frac{171}{5}=34.2$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 513

$$\begin{array}{l}\phantom{15)}\phantom{1}\\15\overline{)513}\\\end{array}$$

Since 5 is less than 15, use the next digit 1 from dividend 513 and add 0 to the quotient

$$\begin{array}{l}\phantom{15)}0\phantom{2}\\15\overline{)513}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 513

$$\begin{array}{l}\phantom{15)}0\phantom{3}\\15\overline{)513}\\\end{array}$$

Find closest multiple of 15 to 51. We see that 3 \times 15 = 45 is the nearest. Now subtract 45 from 51 to get reminder 6. Add 3 to quotient.

$$\begin{array}{l}\phantom{15)}03\phantom{4}\\15\overline{)513}\\\phantom{15)}\underline{\phantom{}45\phantom{9}}\\\phantom{15)9}6\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 513

$$\begin{array}{l}\phantom{15)}03\phantom{5}\\15\overline{)513}\\\phantom{15)}\underline{\phantom{}45\phantom{9}}\\\phantom{15)9}63\\\end{array}$$

Find closest multiple of 15 to 63. We see that 4 \times 15 = 60 is the nearest. Now subtract 60 from 63 to get reminder 3. Add 4 to quotient.

$$\begin{array}{l}\phantom{15)}034\phantom{6}\\15\overline{)513}\\\phantom{15)}\underline{\phantom{}45\phantom{9}}\\\phantom{15)9}63\\\phantom{15)}\underline{\phantom{9}60\phantom{}}\\\phantom{15)99}3\\\end{array}$$

Since 3 is less than 15, stop the division. The reminder is 3. The topmost line 034 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 34.

$$\text{Quotient: }34 \text{Reminder: }3$$

Factor

$$\frac{3 ^ {2} \cdot 19}{5} = 34\frac{1}{5} = 34.2$$