Solve 33000div1900

$$33000 \div 1900$$

Evaluate

$$\frac{330}{19}\approx 17.368421053$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 33000

$$\begin{array}{l}\phantom{1900)}\phantom{1}\\1900\overline{)33000}\\\end{array}$$

Since 3 is less than 1900, use the next digit 3 from dividend 33000 and add 0 to the quotient

$$\begin{array}{l}\phantom{1900)}0\phantom{2}\\1900\overline{)33000}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 33000

$$\begin{array}{l}\phantom{1900)}0\phantom{3}\\1900\overline{)33000}\\\end{array}$$

Since 33 is less than 1900, use the next digit 0 from dividend 33000 and add 0 to the quotient

$$\begin{array}{l}\phantom{1900)}00\phantom{4}\\1900\overline{)33000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 33000

$$\begin{array}{l}\phantom{1900)}00\phantom{5}\\1900\overline{)33000}\\\end{array}$$

Since 330 is less than 1900, use the next digit 0 from dividend 33000 and add 0 to the quotient

$$\begin{array}{l}\phantom{1900)}000\phantom{6}\\1900\overline{)33000}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 33000

$$\begin{array}{l}\phantom{1900)}000\phantom{7}\\1900\overline{)33000}\\\end{array}$$

Find closest multiple of 1900 to 3300. We see that 1 \times 1900 = 1900 is the nearest. Now subtract 1900 from 3300 to get reminder 1400. Add 1 to quotient.

$$\begin{array}{l}\phantom{1900)}0001\phantom{8}\\1900\overline{)33000}\\\phantom{1900)}\underline{\phantom{}1900\phantom{9}}\\\phantom{1900)}1400\\\end{array}$$

Use the 5^{th} digit 0 from dividend 33000

$$\begin{array}{l}\phantom{1900)}0001\phantom{9}\\1900\overline{)33000}\\\phantom{1900)}\underline{\phantom{}1900\phantom{9}}\\\phantom{1900)}14000\\\end{array}$$

Find closest multiple of 1900 to 14000. We see that 7 \times 1900 = 13300 is the nearest. Now subtract 13300 from 14000 to get reminder 700. Add 7 to quotient.

$$\begin{array}{l}\phantom{1900)}00017\phantom{10}\\1900\overline{)33000}\\\phantom{1900)}\underline{\phantom{}1900\phantom{9}}\\\phantom{1900)}14000\\\phantom{1900)}\underline{\phantom{}13300\phantom{}}\\\phantom{1900)99}700\\\end{array}$$

Since 700 is less than 1900, stop the division. The reminder is 700. The topmost line 00017 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 17.

$$\text{Quotient: }17 \text{Reminder: }700$$

Factor

$$\frac{2 \cdot 3 \cdot 5 \cdot 11}{19} = 17\frac{7}{19} = 17.36842105263158$$