Solve 2019div45

$$2019 \div 45$$

Evaluate

$$\frac{673}{15}\approx 44.866666667$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{45)}\phantom{1}\\45\overline{)2019}\\\end{array}$$

Since 2 is less than 45, use the next digit 0 from dividend 2019 and add 0 to the quotient

$$\begin{array}{l}\phantom{45)}0\phantom{2}\\45\overline{)2019}\\\end{array}$$

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

$$\begin{array}{l}\phantom{45)}0\phantom{3}\\45\overline{)2019}\\\end{array}$$

Since 20 is less than 45, use the next digit 1 from dividend 2019 and add 0 to the quotient

$$\begin{array}{l}\phantom{45)}00\phantom{4}\\45\overline{)2019}\\\end{array}$$

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

$$\begin{array}{l}\phantom{45)}00\phantom{5}\\45\overline{)2019}\\\end{array}$$

Find closest multiple of 45 to 201. We see that 4 \times 45 = 180 is the nearest. Now subtract 180 from 201 to get reminder 21. Add 4 to quotient.

$$\begin{array}{l}\phantom{45)}004\phantom{6}\\45\overline{)2019}\\\phantom{45)}\underline{\phantom{}180\phantom{9}}\\\phantom{45)9}21\\\end{array}$$

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

$$\begin{array}{l}\phantom{45)}004\phantom{7}\\45\overline{)2019}\\\phantom{45)}\underline{\phantom{}180\phantom{9}}\\\phantom{45)9}219\\\end{array}$$

Find closest multiple of 45 to 219. We see that 4 \times 45 = 180 is the nearest. Now subtract 180 from 219 to get reminder 39. Add 4 to quotient.

$$\begin{array}{l}\phantom{45)}0044\phantom{8}\\45\overline{)2019}\\\phantom{45)}\underline{\phantom{}180\phantom{9}}\\\phantom{45)9}219\\\phantom{45)}\underline{\phantom{9}180\phantom{}}\\\phantom{45)99}39\\\end{array}$$

Since 39 is less than 45, stop the division. The reminder is 39. The topmost line 0044 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 44.

$$\text{Quotient: }44 \text{Reminder: }39$$

Factor

$$\frac{673}{3 \cdot 5} = 44\frac{13}{15} = 44.86666666666667$$