Solve 100div19

$$100 \div 19$$

Evaluate

$$\frac{100}{19}\approx 5.263157895$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{19)}\phantom{1}\\19\overline{)100}\\\end{array}$$

Since 1 is less than 19, use the next digit 0 from dividend 100 and add 0 to the quotient

$$\begin{array}{l}\phantom{19)}0\phantom{2}\\19\overline{)100}\\\end{array}$$

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

$$\begin{array}{l}\phantom{19)}0\phantom{3}\\19\overline{)100}\\\end{array}$$

Since 10 is less than 19, use the next digit 0 from dividend 100 and add 0 to the quotient

$$\begin{array}{l}\phantom{19)}00\phantom{4}\\19\overline{)100}\\\end{array}$$

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

$$\begin{array}{l}\phantom{19)}00\phantom{5}\\19\overline{)100}\\\end{array}$$

Find closest multiple of 19 to 100. We see that 5 \times 19 = 95 is the nearest. Now subtract 95 from 100 to get reminder 5. Add 5 to quotient.

$$\begin{array}{l}\phantom{19)}005\phantom{6}\\19\overline{)100}\\\phantom{19)}\underline{\phantom{9}95\phantom{}}\\\phantom{19)99}5\\\end{array}$$

Since 5 is less than 19, stop the division. The reminder is 5. The topmost line 005 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5.

$$\text{Quotient: }5 \text{Reminder: }5$$

Factor

$$\frac{2 ^ {2} \cdot 5 ^ {2}}{19} = 5\frac{5}{19} = 5.2631578947368425$$