Solve 64274div3600

$$64274 \div 3600$$

Evaluate

$$\frac{32137}{1800}\approx 17.853888889$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 64274

$$\begin{array}{l}\phantom{3600)}\phantom{1}\\3600\overline{)64274}\\\end{array}$$

Since 6 is less than 3600, use the next digit 4 from dividend 64274 and add 0 to the quotient

$$\begin{array}{l}\phantom{3600)}0\phantom{2}\\3600\overline{)64274}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 64274

$$\begin{array}{l}\phantom{3600)}0\phantom{3}\\3600\overline{)64274}\\\end{array}$$

Since 64 is less than 3600, use the next digit 2 from dividend 64274 and add 0 to the quotient

$$\begin{array}{l}\phantom{3600)}00\phantom{4}\\3600\overline{)64274}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 64274

$$\begin{array}{l}\phantom{3600)}00\phantom{5}\\3600\overline{)64274}\\\end{array}$$

Since 642 is less than 3600, use the next digit 7 from dividend 64274 and add 0 to the quotient

$$\begin{array}{l}\phantom{3600)}000\phantom{6}\\3600\overline{)64274}\\\end{array}$$

Use the 4^{th} digit 7 from dividend 64274

$$\begin{array}{l}\phantom{3600)}000\phantom{7}\\3600\overline{)64274}\\\end{array}$$

Find closest multiple of 3600 to 6427. We see that 1 \times 3600 = 3600 is the nearest. Now subtract 3600 from 6427 to get reminder 2827. Add 1 to quotient.

$$\begin{array}{l}\phantom{3600)}0001\phantom{8}\\3600\overline{)64274}\\\phantom{3600)}\underline{\phantom{}3600\phantom{9}}\\\phantom{3600)}2827\\\end{array}$$

Use the 5^{th} digit 4 from dividend 64274

$$\begin{array}{l}\phantom{3600)}0001\phantom{9}\\3600\overline{)64274}\\\phantom{3600)}\underline{\phantom{}3600\phantom{9}}\\\phantom{3600)}28274\\\end{array}$$

Find closest multiple of 3600 to 28274. We see that 7 \times 3600 = 25200 is the nearest. Now subtract 25200 from 28274 to get reminder 3074. Add 7 to quotient.

$$\begin{array}{l}\phantom{3600)}00017\phantom{10}\\3600\overline{)64274}\\\phantom{3600)}\underline{\phantom{}3600\phantom{9}}\\\phantom{3600)}28274\\\phantom{3600)}\underline{\phantom{}25200\phantom{}}\\\phantom{3600)9}3074\\\end{array}$$

Since 3074 is less than 3600, stop the division. The reminder is 3074. The topmost line 00017 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 17.

$$\text{Quotient: }17 \text{Reminder: }3074$$

Factor

$$\frac{7 \cdot 4591}{2 ^ {3} \cdot 3 ^ {2} \cdot 5 ^ {2}} = 17\frac{1537}{1800} = 17.85388888888889$$