Solve 2600div63

$$2600 \div 63$$

Evaluate

$$\frac{2600}{63}\approx 41.26984127$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2600

$$\begin{array}{l}\phantom{63)}\phantom{1}\\63\overline{)2600}\\\end{array}$$

Since 2 is less than 63, use the next digit 6 from dividend 2600 and add 0 to the quotient

$$\begin{array}{l}\phantom{63)}0\phantom{2}\\63\overline{)2600}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 2600

$$\begin{array}{l}\phantom{63)}0\phantom{3}\\63\overline{)2600}\\\end{array}$$

Since 26 is less than 63, use the next digit 0 from dividend 2600 and add 0 to the quotient

$$\begin{array}{l}\phantom{63)}00\phantom{4}\\63\overline{)2600}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 2600

$$\begin{array}{l}\phantom{63)}00\phantom{5}\\63\overline{)2600}\\\end{array}$$

Find closest multiple of 63 to 260. We see that 4 \times 63 = 252 is the nearest. Now subtract 252 from 260 to get reminder 8. Add 4 to quotient.

$$\begin{array}{l}\phantom{63)}004\phantom{6}\\63\overline{)2600}\\\phantom{63)}\underline{\phantom{}252\phantom{9}}\\\phantom{63)99}8\\\end{array}$$

Use the 4^{th} digit 0 from dividend 2600

$$\begin{array}{l}\phantom{63)}004\phantom{7}\\63\overline{)2600}\\\phantom{63)}\underline{\phantom{}252\phantom{9}}\\\phantom{63)99}80\\\end{array}$$

Find closest multiple of 63 to 80. We see that 1 \times 63 = 63 is the nearest. Now subtract 63 from 80 to get reminder 17. Add 1 to quotient.

$$\begin{array}{l}\phantom{63)}0041\phantom{8}\\63\overline{)2600}\\\phantom{63)}\underline{\phantom{}252\phantom{9}}\\\phantom{63)99}80\\\phantom{63)}\underline{\phantom{99}63\phantom{}}\\\phantom{63)99}17\\\end{array}$$

Since 17 is less than 63, stop the division. The reminder is 17. The topmost line 0041 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 41.

$$\text{Quotient: }41 \text{Reminder: }17$$

Factor

$$\frac{2 ^ {3} \cdot 5 ^ {2} \cdot 13}{3 ^ {2} \cdot 7} = 41\frac{17}{63} = 41.26984126984127$$