Solve 182div72

$$182 \div 72$$

Evaluate

$$\frac{91}{36}\approx 2.527777778$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 182

$$\begin{array}{l}\phantom{72)}\phantom{1}\\72\overline{)182}\\\end{array}$$

Since 1 is less than 72, use the next digit 8 from dividend 182 and add 0 to the quotient

$$\begin{array}{l}\phantom{72)}0\phantom{2}\\72\overline{)182}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 182

$$\begin{array}{l}\phantom{72)}0\phantom{3}\\72\overline{)182}\\\end{array}$$

Since 18 is less than 72, use the next digit 2 from dividend 182 and add 0 to the quotient

$$\begin{array}{l}\phantom{72)}00\phantom{4}\\72\overline{)182}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 182

$$\begin{array}{l}\phantom{72)}00\phantom{5}\\72\overline{)182}\\\end{array}$$

Find closest multiple of 72 to 182. We see that 2 \times 72 = 144 is the nearest. Now subtract 144 from 182 to get reminder 38. Add 2 to quotient.

$$\begin{array}{l}\phantom{72)}002\phantom{6}\\72\overline{)182}\\\phantom{72)}\underline{\phantom{}144\phantom{}}\\\phantom{72)9}38\\\end{array}$$

Since 38 is less than 72, stop the division. The reminder is 38. The topmost line 002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }38$$

Factor

$$\frac{7 \cdot 13}{2 ^ {2} \cdot 3 ^ {2}} = 2\frac{19}{36} = 2.5277777777777777$$