Solve 8905div102

$$8905 \div 102$$

Evaluate

$$\frac{8905}{102}\approx 87.303921569$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{102)}\phantom{1}\\102\overline{)8905}\\\end{array}$$

Since 8 is less than 102, use the next digit 9 from dividend 8905 and add 0 to the quotient

$$\begin{array}{l}\phantom{102)}0\phantom{2}\\102\overline{)8905}\\\end{array}$$

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

$$\begin{array}{l}\phantom{102)}0\phantom{3}\\102\overline{)8905}\\\end{array}$$

Since 89 is less than 102, use the next digit 0 from dividend 8905 and add 0 to the quotient

$$\begin{array}{l}\phantom{102)}00\phantom{4}\\102\overline{)8905}\\\end{array}$$

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

$$\begin{array}{l}\phantom{102)}00\phantom{5}\\102\overline{)8905}\\\end{array}$$

Find closest multiple of 102 to 890. We see that 8 \times 102 = 816 is the nearest. Now subtract 816 from 890 to get reminder 74. Add 8 to quotient.

$$\begin{array}{l}\phantom{102)}008\phantom{6}\\102\overline{)8905}\\\phantom{102)}\underline{\phantom{}816\phantom{9}}\\\phantom{102)9}74\\\end{array}$$

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

$$\begin{array}{l}\phantom{102)}008\phantom{7}\\102\overline{)8905}\\\phantom{102)}\underline{\phantom{}816\phantom{9}}\\\phantom{102)9}745\\\end{array}$$

Find closest multiple of 102 to 745. We see that 7 \times 102 = 714 is the nearest. Now subtract 714 from 745 to get reminder 31. Add 7 to quotient.

$$\begin{array}{l}\phantom{102)}0087\phantom{8}\\102\overline{)8905}\\\phantom{102)}\underline{\phantom{}816\phantom{9}}\\\phantom{102)9}745\\\phantom{102)}\underline{\phantom{9}714\phantom{}}\\\phantom{102)99}31\\\end{array}$$

Since 31 is less than 102, stop the division. The reminder is 31. The topmost line 0087 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 87.

$$\text{Quotient: }87 \text{Reminder: }31$$

Factor

$$\frac{5 \cdot 13 \cdot 137}{2 \cdot 3 \cdot 17} = 87\frac{31}{102} = 87.30392156862744$$