Solve 2981/72

$$\frac{ 2981 }{ 72 }$$

Evaluate

$$\frac{2981}{72}\approx 41.402777778$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2981

$$\begin{array}{l}\phantom{72)}\phantom{1}\\72\overline{)2981}\\\end{array}$$

Since 2 is less than 72, use the next digit 9 from dividend 2981 and add 0 to the quotient

$$\begin{array}{l}\phantom{72)}0\phantom{2}\\72\overline{)2981}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 2981

$$\begin{array}{l}\phantom{72)}0\phantom{3}\\72\overline{)2981}\\\end{array}$$

Since 29 is less than 72, use the next digit 8 from dividend 2981 and add 0 to the quotient

$$\begin{array}{l}\phantom{72)}00\phantom{4}\\72\overline{)2981}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 2981

$$\begin{array}{l}\phantom{72)}00\phantom{5}\\72\overline{)2981}\\\end{array}$$

Find closest multiple of 72 to 298. We see that 4 \times 72 = 288 is the nearest. Now subtract 288 from 298 to get reminder 10. Add 4 to quotient.

$$\begin{array}{l}\phantom{72)}004\phantom{6}\\72\overline{)2981}\\\phantom{72)}\underline{\phantom{}288\phantom{9}}\\\phantom{72)9}10\\\end{array}$$

Use the 4^{th} digit 1 from dividend 2981

$$\begin{array}{l}\phantom{72)}004\phantom{7}\\72\overline{)2981}\\\phantom{72)}\underline{\phantom{}288\phantom{9}}\\\phantom{72)9}101\\\end{array}$$

Find closest multiple of 72 to 101. We see that 1 \times 72 = 72 is the nearest. Now subtract 72 from 101 to get reminder 29. Add 1 to quotient.

$$\begin{array}{l}\phantom{72)}0041\phantom{8}\\72\overline{)2981}\\\phantom{72)}\underline{\phantom{}288\phantom{9}}\\\phantom{72)9}101\\\phantom{72)}\underline{\phantom{99}72\phantom{}}\\\phantom{72)99}29\\\end{array}$$

Since 29 is less than 72, stop the division. The reminder is 29. The topmost line 0041 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 41.

$$\text{Quotient: }41 \text{Reminder: }29$$

Factor

$$\frac{11 \cdot 271}{2 ^ {3} \cdot 3 ^ {2}} = 41\frac{29}{72} = 41.40277777777778$$