Solve 408div94

$$408 \div 94$$

Evaluate

$$\frac{204}{47}\approx 4.340425532$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 408

$$\begin{array}{l}\phantom{94)}\phantom{1}\\94\overline{)408}\\\end{array}$$

Since 4 is less than 94, use the next digit 0 from dividend 408 and add 0 to the quotient

$$\begin{array}{l}\phantom{94)}0\phantom{2}\\94\overline{)408}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 408

$$\begin{array}{l}\phantom{94)}0\phantom{3}\\94\overline{)408}\\\end{array}$$

Since 40 is less than 94, use the next digit 8 from dividend 408 and add 0 to the quotient

$$\begin{array}{l}\phantom{94)}00\phantom{4}\\94\overline{)408}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 408

$$\begin{array}{l}\phantom{94)}00\phantom{5}\\94\overline{)408}\\\end{array}$$

Find closest multiple of 94 to 408. We see that 4 \times 94 = 376 is the nearest. Now subtract 376 from 408 to get reminder 32. Add 4 to quotient.

$$\begin{array}{l}\phantom{94)}004\phantom{6}\\94\overline{)408}\\\phantom{94)}\underline{\phantom{}376\phantom{}}\\\phantom{94)9}32\\\end{array}$$

Since 32 is less than 94, stop the division. The reminder is 32. The topmost line 004 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4.

$$\text{Quotient: }4 \text{Reminder: }32$$

Factor

$$\frac{2 ^ {2} \cdot 3 \cdot 17}{47} = 4\frac{16}{47} = 4.340425531914893$$