Solve 2759div34

$$2759 \div 34$$

Evaluate

$$\frac{2759}{34}\approx 81.147058824$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2759

$$\begin{array}{l}\phantom{34)}\phantom{1}\\34\overline{)2759}\\\end{array}$$

Since 2 is less than 34, use the next digit 7 from dividend 2759 and add 0 to the quotient

$$\begin{array}{l}\phantom{34)}0\phantom{2}\\34\overline{)2759}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 2759

$$\begin{array}{l}\phantom{34)}0\phantom{3}\\34\overline{)2759}\\\end{array}$$

Since 27 is less than 34, use the next digit 5 from dividend 2759 and add 0 to the quotient

$$\begin{array}{l}\phantom{34)}00\phantom{4}\\34\overline{)2759}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 2759

$$\begin{array}{l}\phantom{34)}00\phantom{5}\\34\overline{)2759}\\\end{array}$$

Find closest multiple of 34 to 275. We see that 8 \times 34 = 272 is the nearest. Now subtract 272 from 275 to get reminder 3. Add 8 to quotient.

$$\begin{array}{l}\phantom{34)}008\phantom{6}\\34\overline{)2759}\\\phantom{34)}\underline{\phantom{}272\phantom{9}}\\\phantom{34)99}3\\\end{array}$$

Use the 4^{th} digit 9 from dividend 2759

$$\begin{array}{l}\phantom{34)}008\phantom{7}\\34\overline{)2759}\\\phantom{34)}\underline{\phantom{}272\phantom{9}}\\\phantom{34)99}39\\\end{array}$$

Find closest multiple of 34 to 39. We see that 1 \times 34 = 34 is the nearest. Now subtract 34 from 39 to get reminder 5. Add 1 to quotient.

$$\begin{array}{l}\phantom{34)}0081\phantom{8}\\34\overline{)2759}\\\phantom{34)}\underline{\phantom{}272\phantom{9}}\\\phantom{34)99}39\\\phantom{34)}\underline{\phantom{99}34\phantom{}}\\\phantom{34)999}5\\\end{array}$$

Since 5 is less than 34, stop the division. The reminder is 5. The topmost line 0081 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 81.

$$\text{Quotient: }81 \text{Reminder: }5$$

Factor

$$\frac{31 \cdot 89}{2 \cdot 17} = 81\frac{5}{34} = 81.1470588235294$$