Solve 1638div100

$$1638 \div 100$$

Evaluate

$$\frac{819}{50}=16.38$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1638

$$\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)1638}\\\end{array}$$

Since 1 is less than 100, use the next digit 6 from dividend 1638 and add 0 to the quotient

$$\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)1638}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 1638

$$\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)1638}\\\end{array}$$

Since 16 is less than 100, use the next digit 3 from dividend 1638 and add 0 to the quotient

$$\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)1638}\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 1638

$$\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)1638}\\\end{array}$$

Find closest multiple of 100 to 163. We see that 1 \times 100 = 100 is the nearest. Now subtract 100 from 163 to get reminder 63. Add 1 to quotient.

$$\begin{array}{l}\phantom{100)}001\phantom{6}\\100\overline{)1638}\\\phantom{100)}\underline{\phantom{}100\phantom{9}}\\\phantom{100)9}63\\\end{array}$$

Use the 4^{th} digit 8 from dividend 1638

$$\begin{array}{l}\phantom{100)}001\phantom{7}\\100\overline{)1638}\\\phantom{100)}\underline{\phantom{}100\phantom{9}}\\\phantom{100)9}638\\\end{array}$$

Find closest multiple of 100 to 638. We see that 6 \times 100 = 600 is the nearest. Now subtract 600 from 638 to get reminder 38. Add 6 to quotient.

$$\begin{array}{l}\phantom{100)}0016\phantom{8}\\100\overline{)1638}\\\phantom{100)}\underline{\phantom{}100\phantom{9}}\\\phantom{100)9}638\\\phantom{100)}\underline{\phantom{9}600\phantom{}}\\\phantom{100)99}38\\\end{array}$$

Since 38 is less than 100, stop the division. The reminder is 38. The topmost line 0016 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 16.

$$\text{Quotient: }16 \text{Reminder: }38$$

Factor

$$\frac{3 ^ {2} \cdot 7 \cdot 13}{2 \cdot 5 ^ {2}} = 16\frac{19}{50} = 16.38$$