Solve 8932div85

$$8932 \div 85$$

Evaluate

$$\frac{8932}{85}\approx 105.082352941$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 8932

$$\begin{array}{l}\phantom{85)}\phantom{1}\\85\overline{)8932}\\\end{array}$$

Since 8 is less than 85, use the next digit 9 from dividend 8932 and add 0 to the quotient

$$\begin{array}{l}\phantom{85)}0\phantom{2}\\85\overline{)8932}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 8932

$$\begin{array}{l}\phantom{85)}0\phantom{3}\\85\overline{)8932}\\\end{array}$$

Find closest multiple of 85 to 89. We see that 1 \times 85 = 85 is the nearest. Now subtract 85 from 89 to get reminder 4. Add 1 to quotient.

$$\begin{array}{l}\phantom{85)}01\phantom{4}\\85\overline{)8932}\\\phantom{85)}\underline{\phantom{}85\phantom{99}}\\\phantom{85)9}4\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 8932

$$\begin{array}{l}\phantom{85)}01\phantom{5}\\85\overline{)8932}\\\phantom{85)}\underline{\phantom{}85\phantom{99}}\\\phantom{85)9}43\\\end{array}$$

Since 43 is less than 85, use the next digit 2 from dividend 8932 and add 0 to the quotient

$$\begin{array}{l}\phantom{85)}010\phantom{6}\\85\overline{)8932}\\\phantom{85)}\underline{\phantom{}85\phantom{99}}\\\phantom{85)9}43\\\end{array}$$

Use the 4^{th} digit 2 from dividend 8932

$$\begin{array}{l}\phantom{85)}010\phantom{7}\\85\overline{)8932}\\\phantom{85)}\underline{\phantom{}85\phantom{99}}\\\phantom{85)9}432\\\end{array}$$

Find closest multiple of 85 to 432. We see that 5 \times 85 = 425 is the nearest. Now subtract 425 from 432 to get reminder 7. Add 5 to quotient.

$$\begin{array}{l}\phantom{85)}0105\phantom{8}\\85\overline{)8932}\\\phantom{85)}\underline{\phantom{}85\phantom{99}}\\\phantom{85)9}432\\\phantom{85)}\underline{\phantom{9}425\phantom{}}\\\phantom{85)999}7\\\end{array}$$

Since 7 is less than 85, stop the division. The reminder is 7. The topmost line 0105 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 105.

$$\text{Quotient: }105 \text{Reminder: }7$$

Factor

$$\frac{2 ^ {2} \cdot 7 \cdot 11 \cdot 29}{5 \cdot 17} = 105\frac{7}{85} = 105.08235294117647$$