Solve 515div27

$$515 \div 27$$

Evaluate

$$\frac{515}{27}\approx 19.074074074$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 515

$$\begin{array}{l}\phantom{27)}\phantom{1}\\27\overline{)515}\\\end{array}$$

Since 5 is less than 27, use the next digit 1 from dividend 515 and add 0 to the quotient

$$\begin{array}{l}\phantom{27)}0\phantom{2}\\27\overline{)515}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 515

$$\begin{array}{l}\phantom{27)}0\phantom{3}\\27\overline{)515}\\\end{array}$$

Find closest multiple of 27 to 51. We see that 1 \times 27 = 27 is the nearest. Now subtract 27 from 51 to get reminder 24. Add 1 to quotient.

$$\begin{array}{l}\phantom{27)}01\phantom{4}\\27\overline{)515}\\\phantom{27)}\underline{\phantom{}27\phantom{9}}\\\phantom{27)}24\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 515

$$\begin{array}{l}\phantom{27)}01\phantom{5}\\27\overline{)515}\\\phantom{27)}\underline{\phantom{}27\phantom{9}}\\\phantom{27)}245\\\end{array}$$

Find closest multiple of 27 to 245. We see that 9 \times 27 = 243 is the nearest. Now subtract 243 from 245 to get reminder 2. Add 9 to quotient.

$$\begin{array}{l}\phantom{27)}019\phantom{6}\\27\overline{)515}\\\phantom{27)}\underline{\phantom{}27\phantom{9}}\\\phantom{27)}245\\\phantom{27)}\underline{\phantom{}243\phantom{}}\\\phantom{27)99}2\\\end{array}$$

Since 2 is less than 27, stop the division. The reminder is 2. The topmost line 019 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 19.

$$\text{Quotient: }19 \text{Reminder: }2$$

Factor

$$\frac{5 \cdot 103}{3 ^ {3}} = 19\frac{2}{27} = 19.074074074074073$$