Solve 845div52

$$845 \div 52$$

Evaluate

$$\frac{65}{4}=16.25$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 845

$$\begin{array}{l}\phantom{52)}\phantom{1}\\52\overline{)845}\\\end{array}$$

Since 8 is less than 52, use the next digit 4 from dividend 845 and add 0 to the quotient

$$\begin{array}{l}\phantom{52)}0\phantom{2}\\52\overline{)845}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 845

$$\begin{array}{l}\phantom{52)}0\phantom{3}\\52\overline{)845}\\\end{array}$$

Find closest multiple of 52 to 84. We see that 1 \times 52 = 52 is the nearest. Now subtract 52 from 84 to get reminder 32. Add 1 to quotient.

$$\begin{array}{l}\phantom{52)}01\phantom{4}\\52\overline{)845}\\\phantom{52)}\underline{\phantom{}52\phantom{9}}\\\phantom{52)}32\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 845

$$\begin{array}{l}\phantom{52)}01\phantom{5}\\52\overline{)845}\\\phantom{52)}\underline{\phantom{}52\phantom{9}}\\\phantom{52)}325\\\end{array}$$

Find closest multiple of 52 to 325. We see that 6 \times 52 = 312 is the nearest. Now subtract 312 from 325 to get reminder 13. Add 6 to quotient.

$$\begin{array}{l}\phantom{52)}016\phantom{6}\\52\overline{)845}\\\phantom{52)}\underline{\phantom{}52\phantom{9}}\\\phantom{52)}325\\\phantom{52)}\underline{\phantom{}312\phantom{}}\\\phantom{52)9}13\\\end{array}$$

Since 13 is less than 52, stop the division. The reminder is 13. The topmost line 016 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 16.

$$\text{Quotient: }16 \text{Reminder: }13$$

Factor

$$\frac{5 \cdot 13}{2 ^ {2}} = 16\frac{1}{4} = 16.25$$