Solve 812/57

$$\frac { 812 } { 57 }$$

Evaluate

$$\frac{812}{57}\approx 14.245614035$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 812

$$\begin{array}{l}\phantom{57)}\phantom{1}\\57\overline{)812}\\\end{array}$$

Since 8 is less than 57, use the next digit 1 from dividend 812 and add 0 to the quotient

$$\begin{array}{l}\phantom{57)}0\phantom{2}\\57\overline{)812}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 812

$$\begin{array}{l}\phantom{57)}0\phantom{3}\\57\overline{)812}\\\end{array}$$

Find closest multiple of 57 to 81. We see that 1 \times 57 = 57 is the nearest. Now subtract 57 from 81 to get reminder 24. Add 1 to quotient.

$$\begin{array}{l}\phantom{57)}01\phantom{4}\\57\overline{)812}\\\phantom{57)}\underline{\phantom{}57\phantom{9}}\\\phantom{57)}24\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 812

$$\begin{array}{l}\phantom{57)}01\phantom{5}\\57\overline{)812}\\\phantom{57)}\underline{\phantom{}57\phantom{9}}\\\phantom{57)}242\\\end{array}$$

Find closest multiple of 57 to 242. We see that 4 \times 57 = 228 is the nearest. Now subtract 228 from 242 to get reminder 14. Add 4 to quotient.

$$\begin{array}{l}\phantom{57)}014\phantom{6}\\57\overline{)812}\\\phantom{57)}\underline{\phantom{}57\phantom{9}}\\\phantom{57)}242\\\phantom{57)}\underline{\phantom{}228\phantom{}}\\\phantom{57)9}14\\\end{array}$$

Since 14 is less than 57, stop the division. The reminder is 14. The topmost line 014 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 14.

$$\text{Quotient: }14 \text{Reminder: }14$$

Factor

$$\frac{2 ^ {2} \cdot 7 \cdot 29}{3 \cdot 19} = 14\frac{14}{57} = 14.24561403508772$$