Solve 2806/34

$$\frac{ 2806 }{ 34 }$$

Evaluate

$$\frac{1403}{17}\approx 82.529411765$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2806

$$\begin{array}{l}\phantom{34)}\phantom{1}\\34\overline{)2806}\\\end{array}$$

Since 2 is less than 34, use the next digit 8 from dividend 2806 and add 0 to the quotient

$$\begin{array}{l}\phantom{34)}0\phantom{2}\\34\overline{)2806}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 2806

$$\begin{array}{l}\phantom{34)}0\phantom{3}\\34\overline{)2806}\\\end{array}$$

Since 28 is less than 34, use the next digit 0 from dividend 2806 and add 0 to the quotient

$$\begin{array}{l}\phantom{34)}00\phantom{4}\\34\overline{)2806}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 2806

$$\begin{array}{l}\phantom{34)}00\phantom{5}\\34\overline{)2806}\\\end{array}$$

Find closest multiple of 34 to 280. We see that 8 \times 34 = 272 is the nearest. Now subtract 272 from 280 to get reminder 8. Add 8 to quotient.

$$\begin{array}{l}\phantom{34)}008\phantom{6}\\34\overline{)2806}\\\phantom{34)}\underline{\phantom{}272\phantom{9}}\\\phantom{34)99}8\\\end{array}$$

Use the 4^{th} digit 6 from dividend 2806

$$\begin{array}{l}\phantom{34)}008\phantom{7}\\34\overline{)2806}\\\phantom{34)}\underline{\phantom{}272\phantom{9}}\\\phantom{34)99}86\\\end{array}$$

Find closest multiple of 34 to 86. We see that 2 \times 34 = 68 is the nearest. Now subtract 68 from 86 to get reminder 18. Add 2 to quotient.

$$\begin{array}{l}\phantom{34)}0082\phantom{8}\\34\overline{)2806}\\\phantom{34)}\underline{\phantom{}272\phantom{9}}\\\phantom{34)99}86\\\phantom{34)}\underline{\phantom{99}68\phantom{}}\\\phantom{34)99}18\\\end{array}$$

Since 18 is less than 34, stop the division. The reminder is 18. The topmost line 0082 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 82.

$$\text{Quotient: }82 \text{Reminder: }18$$

Factor

$$\frac{23 \cdot 61}{17} = 82\frac{9}{17} = 82.52941176470588$$