Solve 9981div92

$$9981 \div 92$$

Evaluate

$$\frac{9981}{92}\approx 108.489130435$$

Steps For Long Division Method

Use the 1^{st} digit 9 from dividend 9981

$$\begin{array}{l}\phantom{92)}\phantom{1}\\92\overline{)9981}\\\end{array}$$

Since 9 is less than 92, use the next digit 9 from dividend 9981 and add 0 to the quotient

$$\begin{array}{l}\phantom{92)}0\phantom{2}\\92\overline{)9981}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 9981

$$\begin{array}{l}\phantom{92)}0\phantom{3}\\92\overline{)9981}\\\end{array}$$

Find closest multiple of 92 to 99. We see that 1 \times 92 = 92 is the nearest. Now subtract 92 from 99 to get reminder 7. Add 1 to quotient.

$$\begin{array}{l}\phantom{92)}01\phantom{4}\\92\overline{)9981}\\\phantom{92)}\underline{\phantom{}92\phantom{99}}\\\phantom{92)9}7\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 9981

$$\begin{array}{l}\phantom{92)}01\phantom{5}\\92\overline{)9981}\\\phantom{92)}\underline{\phantom{}92\phantom{99}}\\\phantom{92)9}78\\\end{array}$$

Since 78 is less than 92, use the next digit 1 from dividend 9981 and add 0 to the quotient

$$\begin{array}{l}\phantom{92)}010\phantom{6}\\92\overline{)9981}\\\phantom{92)}\underline{\phantom{}92\phantom{99}}\\\phantom{92)9}78\\\end{array}$$

Use the 4^{th} digit 1 from dividend 9981

$$\begin{array}{l}\phantom{92)}010\phantom{7}\\92\overline{)9981}\\\phantom{92)}\underline{\phantom{}92\phantom{99}}\\\phantom{92)9}781\\\end{array}$$

Find closest multiple of 92 to 781. We see that 8 \times 92 = 736 is the nearest. Now subtract 736 from 781 to get reminder 45. Add 8 to quotient.

$$\begin{array}{l}\phantom{92)}0108\phantom{8}\\92\overline{)9981}\\\phantom{92)}\underline{\phantom{}92\phantom{99}}\\\phantom{92)9}781\\\phantom{92)}\underline{\phantom{9}736\phantom{}}\\\phantom{92)99}45\\\end{array}$$

Since 45 is less than 92, stop the division. The reminder is 45. The topmost line 0108 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 108.

$$\text{Quotient: }108 \text{Reminder: }45$$

Factor

$$\frac{3 ^ {2} \cdot 1109}{2 ^ {2} \cdot 23} = 108\frac{45}{92} = 108.48913043478261$$