Solve 800div61

$$800 \div 61$$

Evaluate

$$\frac{800}{61}\approx 13.114754098$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 800

$$\begin{array}{l}\phantom{61)}\phantom{1}\\61\overline{)800}\\\end{array}$$

Since 8 is less than 61, use the next digit 0 from dividend 800 and add 0 to the quotient

$$\begin{array}{l}\phantom{61)}0\phantom{2}\\61\overline{)800}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 800

$$\begin{array}{l}\phantom{61)}0\phantom{3}\\61\overline{)800}\\\end{array}$$

Find closest multiple of 61 to 80. We see that 1 \times 61 = 61 is the nearest. Now subtract 61 from 80 to get reminder 19. Add 1 to quotient.

$$\begin{array}{l}\phantom{61)}01\phantom{4}\\61\overline{)800}\\\phantom{61)}\underline{\phantom{}61\phantom{9}}\\\phantom{61)}19\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 800

$$\begin{array}{l}\phantom{61)}01\phantom{5}\\61\overline{)800}\\\phantom{61)}\underline{\phantom{}61\phantom{9}}\\\phantom{61)}190\\\end{array}$$

Find closest multiple of 61 to 190. We see that 3 \times 61 = 183 is the nearest. Now subtract 183 from 190 to get reminder 7. Add 3 to quotient.

$$\begin{array}{l}\phantom{61)}013\phantom{6}\\61\overline{)800}\\\phantom{61)}\underline{\phantom{}61\phantom{9}}\\\phantom{61)}190\\\phantom{61)}\underline{\phantom{}183\phantom{}}\\\phantom{61)99}7\\\end{array}$$

Since 7 is less than 61, stop the division. The reminder is 7. The topmost line 013 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 13.

$$\text{Quotient: }13 \text{Reminder: }7$$

Factor

$$\frac{2 ^ {5} \cdot 5 ^ {2}}{61} = 13\frac{7}{61} = 13.114754098360656$$