Solve 982div82

$$982 \div 82$$

Evaluate

$$\frac{491}{41}\approx 11.975609756$$

Steps For Long Division Method

Use the 1^{st} digit 9 from dividend 982

$$\begin{array}{l}\phantom{82)}\phantom{1}\\82\overline{)982}\\\end{array}$$

Since 9 is less than 82, use the next digit 8 from dividend 982 and add 0 to the quotient

$$\begin{array}{l}\phantom{82)}0\phantom{2}\\82\overline{)982}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 982

$$\begin{array}{l}\phantom{82)}0\phantom{3}\\82\overline{)982}\\\end{array}$$

Find closest multiple of 82 to 98. We see that 1 \times 82 = 82 is the nearest. Now subtract 82 from 98 to get reminder 16. Add 1 to quotient.

$$\begin{array}{l}\phantom{82)}01\phantom{4}\\82\overline{)982}\\\phantom{82)}\underline{\phantom{}82\phantom{9}}\\\phantom{82)}16\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 982

$$\begin{array}{l}\phantom{82)}01\phantom{5}\\82\overline{)982}\\\phantom{82)}\underline{\phantom{}82\phantom{9}}\\\phantom{82)}162\\\end{array}$$

Find closest multiple of 82 to 162. We see that 1 \times 82 = 82 is the nearest. Now subtract 82 from 162 to get reminder 80. Add 1 to quotient.

$$\begin{array}{l}\phantom{82)}011\phantom{6}\\82\overline{)982}\\\phantom{82)}\underline{\phantom{}82\phantom{9}}\\\phantom{82)}162\\\phantom{82)}\underline{\phantom{9}82\phantom{}}\\\phantom{82)9}80\\\end{array}$$

Since 80 is less than 82, stop the division. The reminder is 80. The topmost line 011 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 11.

$$\text{Quotient: }11 \text{Reminder: }80$$

Factor

$$\frac{491}{41} = 11\frac{40}{41} = 11.975609756097562$$