Solve 3060/81

$$\frac{ 3060 }{ 81 }$$

Evaluate

$$\frac{340}{9}\approx 37.777777778$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3060

$$\begin{array}{l}\phantom{81)}\phantom{1}\\81\overline{)3060}\\\end{array}$$

Since 3 is less than 81, use the next digit 0 from dividend 3060 and add 0 to the quotient

$$\begin{array}{l}\phantom{81)}0\phantom{2}\\81\overline{)3060}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 3060

$$\begin{array}{l}\phantom{81)}0\phantom{3}\\81\overline{)3060}\\\end{array}$$

Since 30 is less than 81, use the next digit 6 from dividend 3060 and add 0 to the quotient

$$\begin{array}{l}\phantom{81)}00\phantom{4}\\81\overline{)3060}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 3060

$$\begin{array}{l}\phantom{81)}00\phantom{5}\\81\overline{)3060}\\\end{array}$$

Find closest multiple of 81 to 306. We see that 3 \times 81 = 243 is the nearest. Now subtract 243 from 306 to get reminder 63. Add 3 to quotient.

$$\begin{array}{l}\phantom{81)}003\phantom{6}\\81\overline{)3060}\\\phantom{81)}\underline{\phantom{}243\phantom{9}}\\\phantom{81)9}63\\\end{array}$$

Use the 4^{th} digit 0 from dividend 3060

$$\begin{array}{l}\phantom{81)}003\phantom{7}\\81\overline{)3060}\\\phantom{81)}\underline{\phantom{}243\phantom{9}}\\\phantom{81)9}630\\\end{array}$$

Find closest multiple of 81 to 630. We see that 7 \times 81 = 567 is the nearest. Now subtract 567 from 630 to get reminder 63. Add 7 to quotient.

$$\begin{array}{l}\phantom{81)}0037\phantom{8}\\81\overline{)3060}\\\phantom{81)}\underline{\phantom{}243\phantom{9}}\\\phantom{81)9}630\\\phantom{81)}\underline{\phantom{9}567\phantom{}}\\\phantom{81)99}63\\\end{array}$$

Since 63 is less than 81, stop the division. The reminder is 63. The topmost line 0037 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 37.

$$\text{Quotient: }37 \text{Reminder: }63$$

Factor

$$\frac{2 ^ {2} \cdot 5 \cdot 17}{3 ^ {2}} = 37\frac{7}{9} = 37.77777777777778$$