Solve 3600div41

$$3600 \div 41$$

Evaluate

$$\frac{3600}{41}\approx 87.804878049$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3600

$$\begin{array}{l}\phantom{41)}\phantom{1}\\41\overline{)3600}\\\end{array}$$

Since 3 is less than 41, use the next digit 6 from dividend 3600 and add 0 to the quotient

$$\begin{array}{l}\phantom{41)}0\phantom{2}\\41\overline{)3600}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 3600

$$\begin{array}{l}\phantom{41)}0\phantom{3}\\41\overline{)3600}\\\end{array}$$

Since 36 is less than 41, use the next digit 0 from dividend 3600 and add 0 to the quotient

$$\begin{array}{l}\phantom{41)}00\phantom{4}\\41\overline{)3600}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 3600

$$\begin{array}{l}\phantom{41)}00\phantom{5}\\41\overline{)3600}\\\end{array}$$

Find closest multiple of 41 to 360. We see that 8 \times 41 = 328 is the nearest. Now subtract 328 from 360 to get reminder 32. Add 8 to quotient.

$$\begin{array}{l}\phantom{41)}008\phantom{6}\\41\overline{)3600}\\\phantom{41)}\underline{\phantom{}328\phantom{9}}\\\phantom{41)9}32\\\end{array}$$

Use the 4^{th} digit 0 from dividend 3600

$$\begin{array}{l}\phantom{41)}008\phantom{7}\\41\overline{)3600}\\\phantom{41)}\underline{\phantom{}328\phantom{9}}\\\phantom{41)9}320\\\end{array}$$

Find closest multiple of 41 to 320. We see that 7 \times 41 = 287 is the nearest. Now subtract 287 from 320 to get reminder 33. Add 7 to quotient.

$$\begin{array}{l}\phantom{41)}0087\phantom{8}\\41\overline{)3600}\\\phantom{41)}\underline{\phantom{}328\phantom{9}}\\\phantom{41)9}320\\\phantom{41)}\underline{\phantom{9}287\phantom{}}\\\phantom{41)99}33\\\end{array}$$

Since 33 is less than 41, stop the division. The reminder is 33. The topmost line 0087 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 87.

$$\text{Quotient: }87 \text{Reminder: }33$$

Factor

$$\frac{2 ^ {4} \cdot 3 ^ {2} \cdot 5 ^ {2}}{41} = 87\frac{33}{41} = 87.8048780487805$$