Solve 2019div19

$$2019 \div 19$$

Evaluate

$$\frac{2019}{19}\approx 106.263157895$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2019

$$\begin{array}{l}\phantom{19)}\phantom{1}\\19\overline{)2019}\\\end{array}$$

Since 2 is less than 19, use the next digit 0 from dividend 2019 and add 0 to the quotient

$$\begin{array}{l}\phantom{19)}0\phantom{2}\\19\overline{)2019}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 2019

$$\begin{array}{l}\phantom{19)}0\phantom{3}\\19\overline{)2019}\\\end{array}$$

Find closest multiple of 19 to 20. We see that 1 \times 19 = 19 is the nearest. Now subtract 19 from 20 to get reminder 1. Add 1 to quotient.

$$\begin{array}{l}\phantom{19)}01\phantom{4}\\19\overline{)2019}\\\phantom{19)}\underline{\phantom{}19\phantom{99}}\\\phantom{19)9}1\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 2019

$$\begin{array}{l}\phantom{19)}01\phantom{5}\\19\overline{)2019}\\\phantom{19)}\underline{\phantom{}19\phantom{99}}\\\phantom{19)9}11\\\end{array}$$

Since 11 is less than 19, use the next digit 9 from dividend 2019 and add 0 to the quotient

$$\begin{array}{l}\phantom{19)}010\phantom{6}\\19\overline{)2019}\\\phantom{19)}\underline{\phantom{}19\phantom{99}}\\\phantom{19)9}11\\\end{array}$$

Use the 4^{th} digit 9 from dividend 2019

$$\begin{array}{l}\phantom{19)}010\phantom{7}\\19\overline{)2019}\\\phantom{19)}\underline{\phantom{}19\phantom{99}}\\\phantom{19)9}119\\\end{array}$$

Find closest multiple of 19 to 119. We see that 6 \times 19 = 114 is the nearest. Now subtract 114 from 119 to get reminder 5. Add 6 to quotient.

$$\begin{array}{l}\phantom{19)}0106\phantom{8}\\19\overline{)2019}\\\phantom{19)}\underline{\phantom{}19\phantom{99}}\\\phantom{19)9}119\\\phantom{19)}\underline{\phantom{9}114\phantom{}}\\\phantom{19)999}5\\\end{array}$$

Since 5 is less than 19, stop the division. The reminder is 5. The topmost line 0106 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 106.

$$\text{Quotient: }106 \text{Reminder: }5$$

Factor

$$\frac{3 \cdot 673}{19} = 106\frac{5}{19} = 106.26315789473684$$