Solve 4469div25

$$4469 \div 25$$

Evaluate

$$\frac{4469}{25}=178.76$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 4469

$$\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)4469}\\\end{array}$$

Since 4 is less than 25, use the next digit 4 from dividend 4469 and add 0 to the quotient

$$\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)4469}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 4469

$$\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)4469}\\\end{array}$$

Find closest multiple of 25 to 44. We see that 1 \times 25 = 25 is the nearest. Now subtract 25 from 44 to get reminder 19. Add 1 to quotient.

$$\begin{array}{l}\phantom{25)}01\phantom{4}\\25\overline{)4469}\\\phantom{25)}\underline{\phantom{}25\phantom{99}}\\\phantom{25)}19\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 4469

$$\begin{array}{l}\phantom{25)}01\phantom{5}\\25\overline{)4469}\\\phantom{25)}\underline{\phantom{}25\phantom{99}}\\\phantom{25)}196\\\end{array}$$

Find closest multiple of 25 to 196. We see that 7 \times 25 = 175 is the nearest. Now subtract 175 from 196 to get reminder 21. Add 7 to quotient.

$$\begin{array}{l}\phantom{25)}017\phantom{6}\\25\overline{)4469}\\\phantom{25)}\underline{\phantom{}25\phantom{99}}\\\phantom{25)}196\\\phantom{25)}\underline{\phantom{}175\phantom{9}}\\\phantom{25)9}21\\\end{array}$$

Use the 4^{th} digit 9 from dividend 4469

$$\begin{array}{l}\phantom{25)}017\phantom{7}\\25\overline{)4469}\\\phantom{25)}\underline{\phantom{}25\phantom{99}}\\\phantom{25)}196\\\phantom{25)}\underline{\phantom{}175\phantom{9}}\\\phantom{25)9}219\\\end{array}$$

Find closest multiple of 25 to 219. We see that 8 \times 25 = 200 is the nearest. Now subtract 200 from 219 to get reminder 19. Add 8 to quotient.

$$\begin{array}{l}\phantom{25)}0178\phantom{8}\\25\overline{)4469}\\\phantom{25)}\underline{\phantom{}25\phantom{99}}\\\phantom{25)}196\\\phantom{25)}\underline{\phantom{}175\phantom{9}}\\\phantom{25)9}219\\\phantom{25)}\underline{\phantom{9}200\phantom{}}\\\phantom{25)99}19\\\end{array}$$

Since 19 is less than 25, stop the division. The reminder is 19. The topmost line 0178 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 178.

$$\text{Quotient: }178 \text{Reminder: }19$$

Factor

$$\frac{41 \cdot 109}{5 ^ {2}} = 178\frac{19}{25} = 178.76$$