Solve 302div59

$$302 \div 59$$

Evaluate

$$\frac{302}{59}\approx 5.118644068$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 302

$$\begin{array}{l}\phantom{59)}\phantom{1}\\59\overline{)302}\\\end{array}$$

Since 3 is less than 59, use the next digit 0 from dividend 302 and add 0 to the quotient

$$\begin{array}{l}\phantom{59)}0\phantom{2}\\59\overline{)302}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 302

$$\begin{array}{l}\phantom{59)}0\phantom{3}\\59\overline{)302}\\\end{array}$$

Since 30 is less than 59, use the next digit 2 from dividend 302 and add 0 to the quotient

$$\begin{array}{l}\phantom{59)}00\phantom{4}\\59\overline{)302}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 302

$$\begin{array}{l}\phantom{59)}00\phantom{5}\\59\overline{)302}\\\end{array}$$

Find closest multiple of 59 to 302. We see that 5 \times 59 = 295 is the nearest. Now subtract 295 from 302 to get reminder 7. Add 5 to quotient.

$$\begin{array}{l}\phantom{59)}005\phantom{6}\\59\overline{)302}\\\phantom{59)}\underline{\phantom{}295\phantom{}}\\\phantom{59)99}7\\\end{array}$$

Since 7 is less than 59, stop the division. The reminder is 7. The topmost line 005 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5.

$$\text{Quotient: }5 \text{Reminder: }7$$

Factor

$$\frac{2 \cdot 151}{59} = 5\frac{7}{59} = 5.11864406779661$$