Solve 965div76=

$$965 \div 76=$$

Evaluate

$$\frac{965}{76}\approx 12.697368421$$

Steps For Long Division Method

Use the 1^{st} digit 9 from dividend 965

$$\begin{array}{l}\phantom{76)}\phantom{1}\\76\overline{)965}\\\end{array}$$

Since 9 is less than 76, use the next digit 6 from dividend 965 and add 0 to the quotient

$$\begin{array}{l}\phantom{76)}0\phantom{2}\\76\overline{)965}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 965

$$\begin{array}{l}\phantom{76)}0\phantom{3}\\76\overline{)965}\\\end{array}$$

Find closest multiple of 76 to 96. We see that 1 \times 76 = 76 is the nearest. Now subtract 76 from 96 to get reminder 20. Add 1 to quotient.

$$\begin{array}{l}\phantom{76)}01\phantom{4}\\76\overline{)965}\\\phantom{76)}\underline{\phantom{}76\phantom{9}}\\\phantom{76)}20\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 965

$$\begin{array}{l}\phantom{76)}01\phantom{5}\\76\overline{)965}\\\phantom{76)}\underline{\phantom{}76\phantom{9}}\\\phantom{76)}205\\\end{array}$$

Find closest multiple of 76 to 205. We see that 2 \times 76 = 152 is the nearest. Now subtract 152 from 205 to get reminder 53. Add 2 to quotient.

$$\begin{array}{l}\phantom{76)}012\phantom{6}\\76\overline{)965}\\\phantom{76)}\underline{\phantom{}76\phantom{9}}\\\phantom{76)}205\\\phantom{76)}\underline{\phantom{}152\phantom{}}\\\phantom{76)9}53\\\end{array}$$

Since 53 is less than 76, stop the division. The reminder is 53. The topmost line 012 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 12.

$$\text{Quotient: }12 \text{Reminder: }53$$

Factor

$$\frac{5 \cdot 193}{2 ^ {2} \cdot 19} = 12\frac{53}{76} = 12.697368421052632$$