Solve 1980div26

$$1980 \div 26$$

Evaluate

$$\frac{990}{13}\approx 76.153846154$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1980

$$\begin{array}{l}\phantom{26)}\phantom{1}\\26\overline{)1980}\\\end{array}$$

Since 1 is less than 26, use the next digit 9 from dividend 1980 and add 0 to the quotient

$$\begin{array}{l}\phantom{26)}0\phantom{2}\\26\overline{)1980}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 1980

$$\begin{array}{l}\phantom{26)}0\phantom{3}\\26\overline{)1980}\\\end{array}$$

Since 19 is less than 26, use the next digit 8 from dividend 1980 and add 0 to the quotient

$$\begin{array}{l}\phantom{26)}00\phantom{4}\\26\overline{)1980}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 1980

$$\begin{array}{l}\phantom{26)}00\phantom{5}\\26\overline{)1980}\\\end{array}$$

Find closest multiple of 26 to 198. We see that 7 \times 26 = 182 is the nearest. Now subtract 182 from 198 to get reminder 16. Add 7 to quotient.

$$\begin{array}{l}\phantom{26)}007\phantom{6}\\26\overline{)1980}\\\phantom{26)}\underline{\phantom{}182\phantom{9}}\\\phantom{26)9}16\\\end{array}$$

Use the 4^{th} digit 0 from dividend 1980

$$\begin{array}{l}\phantom{26)}007\phantom{7}\\26\overline{)1980}\\\phantom{26)}\underline{\phantom{}182\phantom{9}}\\\phantom{26)9}160\\\end{array}$$

Find closest multiple of 26 to 160. We see that 6 \times 26 = 156 is the nearest. Now subtract 156 from 160 to get reminder 4. Add 6 to quotient.

$$\begin{array}{l}\phantom{26)}0076\phantom{8}\\26\overline{)1980}\\\phantom{26)}\underline{\phantom{}182\phantom{9}}\\\phantom{26)9}160\\\phantom{26)}\underline{\phantom{9}156\phantom{}}\\\phantom{26)999}4\\\end{array}$$

Since 4 is less than 26, stop the division. The reminder is 4. The topmost line 0076 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 76.

$$\text{Quotient: }76 \text{Reminder: }4$$

Factor

$$\frac{2 \cdot 3 ^ {2} \cdot 5 \cdot 11}{13} = 76\frac{2}{13} = 76.15384615384616$$