Solve 1198div25

$$1198 \div 25$$

Evaluate

$$\frac{1198}{25}=47.92$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1198

$$\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)1198}\\\end{array}$$

Since 1 is less than 25, use the next digit 1 from dividend 1198 and add 0 to the quotient

$$\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)1198}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 1198

$$\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)1198}\\\end{array}$$

Since 11 is less than 25, use the next digit 9 from dividend 1198 and add 0 to the quotient

$$\begin{array}{l}\phantom{25)}00\phantom{4}\\25\overline{)1198}\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 1198

$$\begin{array}{l}\phantom{25)}00\phantom{5}\\25\overline{)1198}\\\end{array}$$

Find closest multiple of 25 to 119. We see that 4 \times 25 = 100 is the nearest. Now subtract 100 from 119 to get reminder 19. Add 4 to quotient.

$$\begin{array}{l}\phantom{25)}004\phantom{6}\\25\overline{)1198}\\\phantom{25)}\underline{\phantom{}100\phantom{9}}\\\phantom{25)9}19\\\end{array}$$

Use the 4^{th} digit 8 from dividend 1198

$$\begin{array}{l}\phantom{25)}004\phantom{7}\\25\overline{)1198}\\\phantom{25)}\underline{\phantom{}100\phantom{9}}\\\phantom{25)9}198\\\end{array}$$

Find closest multiple of 25 to 198. We see that 7 \times 25 = 175 is the nearest. Now subtract 175 from 198 to get reminder 23. Add 7 to quotient.

$$\begin{array}{l}\phantom{25)}0047\phantom{8}\\25\overline{)1198}\\\phantom{25)}\underline{\phantom{}100\phantom{9}}\\\phantom{25)9}198\\\phantom{25)}\underline{\phantom{9}175\phantom{}}\\\phantom{25)99}23\\\end{array}$$

Since 23 is less than 25, stop the division. The reminder is 23. The topmost line 0047 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 47.

$$\text{Quotient: }47 \text{Reminder: }23$$

Factor

$$\frac{2 \cdot 599}{5 ^ {2}} = 47\frac{23}{25} = 47.92$$