Solve 6982:92=

$$6982 : 92 =$$

Evaluate

$$\frac{3491}{46}\approx 75.891304348$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 6982

$$\begin{array}{l}\phantom{92)}\phantom{1}\\92\overline{)6982}\\\end{array}$$

Since 6 is less than 92, use the next digit 9 from dividend 6982 and add 0 to the quotient

$$\begin{array}{l}\phantom{92)}0\phantom{2}\\92\overline{)6982}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 6982

$$\begin{array}{l}\phantom{92)}0\phantom{3}\\92\overline{)6982}\\\end{array}$$

Since 69 is less than 92, use the next digit 8 from dividend 6982 and add 0 to the quotient

$$\begin{array}{l}\phantom{92)}00\phantom{4}\\92\overline{)6982}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 6982

$$\begin{array}{l}\phantom{92)}00\phantom{5}\\92\overline{)6982}\\\end{array}$$

Find closest multiple of 92 to 698. We see that 7 \times 92 = 644 is the nearest. Now subtract 644 from 698 to get reminder 54. Add 7 to quotient.

$$\begin{array}{l}\phantom{92)}007\phantom{6}\\92\overline{)6982}\\\phantom{92)}\underline{\phantom{}644\phantom{9}}\\\phantom{92)9}54\\\end{array}$$

Use the 4^{th} digit 2 from dividend 6982

$$\begin{array}{l}\phantom{92)}007\phantom{7}\\92\overline{)6982}\\\phantom{92)}\underline{\phantom{}644\phantom{9}}\\\phantom{92)9}542\\\end{array}$$

Find closest multiple of 92 to 542. We see that 5 \times 92 = 460 is the nearest. Now subtract 460 from 542 to get reminder 82. Add 5 to quotient.

$$\begin{array}{l}\phantom{92)}0075\phantom{8}\\92\overline{)6982}\\\phantom{92)}\underline{\phantom{}644\phantom{9}}\\\phantom{92)9}542\\\phantom{92)}\underline{\phantom{9}460\phantom{}}\\\phantom{92)99}82\\\end{array}$$

Since 82 is less than 92, stop the division. The reminder is 82. The topmost line 0075 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 75.

$$\text{Quotient: }75 \text{Reminder: }82$$

Factor

$$\frac{3491}{2 \cdot 23} = 75\frac{41}{46} = 75.8913043478261$$