Solve 74825div852

$$74825 \div 852$$

Evaluate

$$\frac{74825}{852}\approx 87.822769953$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 74825

$$\begin{array}{l}\phantom{852)}\phantom{1}\\852\overline{)74825}\\\end{array}$$

Since 7 is less than 852, use the next digit 4 from dividend 74825 and add 0 to the quotient

$$\begin{array}{l}\phantom{852)}0\phantom{2}\\852\overline{)74825}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 74825

$$\begin{array}{l}\phantom{852)}0\phantom{3}\\852\overline{)74825}\\\end{array}$$

Since 74 is less than 852, use the next digit 8 from dividend 74825 and add 0 to the quotient

$$\begin{array}{l}\phantom{852)}00\phantom{4}\\852\overline{)74825}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 74825

$$\begin{array}{l}\phantom{852)}00\phantom{5}\\852\overline{)74825}\\\end{array}$$

Since 748 is less than 852, use the next digit 2 from dividend 74825 and add 0 to the quotient

$$\begin{array}{l}\phantom{852)}000\phantom{6}\\852\overline{)74825}\\\end{array}$$

Use the 4^{th} digit 2 from dividend 74825

$$\begin{array}{l}\phantom{852)}000\phantom{7}\\852\overline{)74825}\\\end{array}$$

Find closest multiple of 852 to 7482. We see that 8 \times 852 = 6816 is the nearest. Now subtract 6816 from 7482 to get reminder 666. Add 8 to quotient.

$$\begin{array}{l}\phantom{852)}0008\phantom{8}\\852\overline{)74825}\\\phantom{852)}\underline{\phantom{}6816\phantom{9}}\\\phantom{852)9}666\\\end{array}$$

Use the 5^{th} digit 5 from dividend 74825

$$\begin{array}{l}\phantom{852)}0008\phantom{9}\\852\overline{)74825}\\\phantom{852)}\underline{\phantom{}6816\phantom{9}}\\\phantom{852)9}6665\\\end{array}$$

Find closest multiple of 852 to 6665. We see that 7 \times 852 = 5964 is the nearest. Now subtract 5964 from 6665 to get reminder 701. Add 7 to quotient.

$$\begin{array}{l}\phantom{852)}00087\phantom{10}\\852\overline{)74825}\\\phantom{852)}\underline{\phantom{}6816\phantom{9}}\\\phantom{852)9}6665\\\phantom{852)}\underline{\phantom{9}5964\phantom{}}\\\phantom{852)99}701\\\end{array}$$

Since 701 is less than 852, stop the division. The reminder is 701. The topmost line 00087 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 87.

$$\text{Quotient: }87 \text{Reminder: }701$$

Factor

$$\frac{5 ^ {2} \cdot 41 \cdot 73}{2 ^ {2} \cdot 3 \cdot 71} = 87\frac{701}{852} = 87.82276995305165$$