Solve 8905div108

$$8905 \div 108$$

Evaluate

$$\frac{8905}{108}\approx 82.453703704$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 8905

$$\begin{array}{l}\phantom{108)}\phantom{1}\\108\overline{)8905}\\\end{array}$$

Since 8 is less than 108, use the next digit 9 from dividend 8905 and add 0 to the quotient

$$\begin{array}{l}\phantom{108)}0\phantom{2}\\108\overline{)8905}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 8905

$$\begin{array}{l}\phantom{108)}0\phantom{3}\\108\overline{)8905}\\\end{array}$$

Since 89 is less than 108, use the next digit 0 from dividend 8905 and add 0 to the quotient

$$\begin{array}{l}\phantom{108)}00\phantom{4}\\108\overline{)8905}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 8905

$$\begin{array}{l}\phantom{108)}00\phantom{5}\\108\overline{)8905}\\\end{array}$$

Find closest multiple of 108 to 890. We see that 8 \times 108 = 864 is the nearest. Now subtract 864 from 890 to get reminder 26. Add 8 to quotient.

$$\begin{array}{l}\phantom{108)}008\phantom{6}\\108\overline{)8905}\\\phantom{108)}\underline{\phantom{}864\phantom{9}}\\\phantom{108)9}26\\\end{array}$$

Use the 4^{th} digit 5 from dividend 8905

$$\begin{array}{l}\phantom{108)}008\phantom{7}\\108\overline{)8905}\\\phantom{108)}\underline{\phantom{}864\phantom{9}}\\\phantom{108)9}265\\\end{array}$$

Find closest multiple of 108 to 265. We see that 2 \times 108 = 216 is the nearest. Now subtract 216 from 265 to get reminder 49. Add 2 to quotient.

$$\begin{array}{l}\phantom{108)}0082\phantom{8}\\108\overline{)8905}\\\phantom{108)}\underline{\phantom{}864\phantom{9}}\\\phantom{108)9}265\\\phantom{108)}\underline{\phantom{9}216\phantom{}}\\\phantom{108)99}49\\\end{array}$$

Since 49 is less than 108, stop the division. The reminder is 49. The topmost line 0082 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 82.

$$\text{Quotient: }82 \text{Reminder: }49$$

Factor

$$\frac{5 \cdot 13 \cdot 137}{2 ^ {2} \cdot 3 ^ {3}} = 82\frac{49}{108} = 82.45370370370371$$