Solve 412:83=

$$412 : 83 =$$

Evaluate

$$\frac{412}{83}\approx 4.963855422$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 412

$$\begin{array}{l}\phantom{83)}\phantom{1}\\83\overline{)412}\\\end{array}$$

Since 4 is less than 83, use the next digit 1 from dividend 412 and add 0 to the quotient

$$\begin{array}{l}\phantom{83)}0\phantom{2}\\83\overline{)412}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 412

$$\begin{array}{l}\phantom{83)}0\phantom{3}\\83\overline{)412}\\\end{array}$$

Since 41 is less than 83, use the next digit 2 from dividend 412 and add 0 to the quotient

$$\begin{array}{l}\phantom{83)}00\phantom{4}\\83\overline{)412}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 412

$$\begin{array}{l}\phantom{83)}00\phantom{5}\\83\overline{)412}\\\end{array}$$

Find closest multiple of 83 to 412. We see that 4 \times 83 = 332 is the nearest. Now subtract 332 from 412 to get reminder 80. Add 4 to quotient.

$$\begin{array}{l}\phantom{83)}004\phantom{6}\\83\overline{)412}\\\phantom{83)}\underline{\phantom{}332\phantom{}}\\\phantom{83)9}80\\\end{array}$$

Since 80 is less than 83, stop the division. The reminder is 80. The topmost line 004 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4.

$$\text{Quotient: }4 \text{Reminder: }80$$

Factor

$$\frac{2 ^ {2} \cdot 103}{83} = 4\frac{80}{83} = 4.963855421686747$$