Solve 1998div24

$$1998 \div 24$$

Evaluate

$$\frac{333}{4}=83.25$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1998

$$\begin{array}{l}\phantom{24)}\phantom{1}\\24\overline{)1998}\\\end{array}$$

Since 1 is less than 24, use the next digit 9 from dividend 1998 and add 0 to the quotient

$$\begin{array}{l}\phantom{24)}0\phantom{2}\\24\overline{)1998}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 1998

$$\begin{array}{l}\phantom{24)}0\phantom{3}\\24\overline{)1998}\\\end{array}$$

Since 19 is less than 24, use the next digit 9 from dividend 1998 and add 0 to the quotient

$$\begin{array}{l}\phantom{24)}00\phantom{4}\\24\overline{)1998}\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 1998

$$\begin{array}{l}\phantom{24)}00\phantom{5}\\24\overline{)1998}\\\end{array}$$

Find closest multiple of 24 to 199. We see that 8 \times 24 = 192 is the nearest. Now subtract 192 from 199 to get reminder 7. Add 8 to quotient.

$$\begin{array}{l}\phantom{24)}008\phantom{6}\\24\overline{)1998}\\\phantom{24)}\underline{\phantom{}192\phantom{9}}\\\phantom{24)99}7\\\end{array}$$

Use the 4^{th} digit 8 from dividend 1998

$$\begin{array}{l}\phantom{24)}008\phantom{7}\\24\overline{)1998}\\\phantom{24)}\underline{\phantom{}192\phantom{9}}\\\phantom{24)99}78\\\end{array}$$

Find closest multiple of 24 to 78. We see that 3 \times 24 = 72 is the nearest. Now subtract 72 from 78 to get reminder 6. Add 3 to quotient.

$$\begin{array}{l}\phantom{24)}0083\phantom{8}\\24\overline{)1998}\\\phantom{24)}\underline{\phantom{}192\phantom{9}}\\\phantom{24)99}78\\\phantom{24)}\underline{\phantom{99}72\phantom{}}\\\phantom{24)999}6\\\end{array}$$

Since 6 is less than 24, stop the division. The reminder is 6. The topmost line 0083 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 83.

$$\text{Quotient: }83 \text{Reminder: }6$$

Factor

$$\frac{3 ^ {2} \cdot 37}{2 ^ {2}} = 83\frac{1}{4} = 83.25$$