Solve 412/53

$$\frac{ 412 }{ 53 }$$

Evaluate

$$\frac{412}{53}\approx 7.773584906$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{53)}\phantom{1}\\53\overline{)412}\\\end{array}$$

Since 4 is less than 53, use the next digit 1 from dividend 412 and add 0 to the quotient

$$\begin{array}{l}\phantom{53)}0\phantom{2}\\53\overline{)412}\\\end{array}$$

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

$$\begin{array}{l}\phantom{53)}0\phantom{3}\\53\overline{)412}\\\end{array}$$

Since 41 is less than 53, use the next digit 2 from dividend 412 and add 0 to the quotient

$$\begin{array}{l}\phantom{53)}00\phantom{4}\\53\overline{)412}\\\end{array}$$

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

$$\begin{array}{l}\phantom{53)}00\phantom{5}\\53\overline{)412}\\\end{array}$$

Find closest multiple of 53 to 412. We see that 7 \times 53 = 371 is the nearest. Now subtract 371 from 412 to get reminder 41. Add 7 to quotient.

$$\begin{array}{l}\phantom{53)}007\phantom{6}\\53\overline{)412}\\\phantom{53)}\underline{\phantom{}371\phantom{}}\\\phantom{53)9}41\\\end{array}$$

Since 41 is less than 53, stop the division. The reminder is 41. The topmost line 007 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 7.

$$\text{Quotient: }7 \text{Reminder: }41$$

Factor

$$\frac{2 ^ {2} \cdot 103}{53} = 7\frac{41}{53} = 7.773584905660377$$