Solve 416div85

$$416 \div 85$$

Evaluate

$$\frac{416}{85}\approx 4.894117647$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 416

$$\begin{array}{l}\phantom{85)}\phantom{1}\\85\overline{)416}\\\end{array}$$

Since 4 is less than 85, use the next digit 1 from dividend 416 and add 0 to the quotient

$$\begin{array}{l}\phantom{85)}0\phantom{2}\\85\overline{)416}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 416

$$\begin{array}{l}\phantom{85)}0\phantom{3}\\85\overline{)416}\\\end{array}$$

Since 41 is less than 85, use the next digit 6 from dividend 416 and add 0 to the quotient

$$\begin{array}{l}\phantom{85)}00\phantom{4}\\85\overline{)416}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 416

$$\begin{array}{l}\phantom{85)}00\phantom{5}\\85\overline{)416}\\\end{array}$$

Find closest multiple of 85 to 416. We see that 4 \times 85 = 340 is the nearest. Now subtract 340 from 416 to get reminder 76. Add 4 to quotient.

$$\begin{array}{l}\phantom{85)}004\phantom{6}\\85\overline{)416}\\\phantom{85)}\underline{\phantom{}340\phantom{}}\\\phantom{85)9}76\\\end{array}$$

Since 76 is less than 85, stop the division. The reminder is 76. The topmost line 004 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4.

$$\text{Quotient: }4 \text{Reminder: }76$$

Factor

$$\frac{2 ^ {5} \cdot 13}{5 \cdot 17} = 4\frac{76}{85} = 4.894117647058824$$