Solve 100/57

$$\frac { 100 } { 57 }$$

Evaluate

$$\frac{100}{57}\approx 1.754385965$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 100

$$\begin{array}{l}\phantom{57)}\phantom{1}\\57\overline{)100}\\\end{array}$$

Since 1 is less than 57, use the next digit 0 from dividend 100 and add 0 to the quotient

$$\begin{array}{l}\phantom{57)}0\phantom{2}\\57\overline{)100}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 100

$$\begin{array}{l}\phantom{57)}0\phantom{3}\\57\overline{)100}\\\end{array}$$

Since 10 is less than 57, use the next digit 0 from dividend 100 and add 0 to the quotient

$$\begin{array}{l}\phantom{57)}00\phantom{4}\\57\overline{)100}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 100

$$\begin{array}{l}\phantom{57)}00\phantom{5}\\57\overline{)100}\\\end{array}$$

Find closest multiple of 57 to 100. We see that 1 \times 57 = 57 is the nearest. Now subtract 57 from 100 to get reminder 43. Add 1 to quotient.

$$\begin{array}{l}\phantom{57)}001\phantom{6}\\57\overline{)100}\\\phantom{57)}\underline{\phantom{9}57\phantom{}}\\\phantom{57)9}43\\\end{array}$$

Since 43 is less than 57, stop the division. The reminder is 43. The topmost line 001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }43$$

Factor

$$\frac{2 ^ {2} \cdot 5 ^ {2}}{3 \cdot 19} = 1\frac{43}{57} = 1.7543859649122806$$