Solve 3675:65

$$3675 : 65$$

Evaluate

$$\frac{735}{13}\approx 56.538461538$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3675

$$\begin{array}{l}\phantom{65)}\phantom{1}\\65\overline{)3675}\\\end{array}$$

Since 3 is less than 65, use the next digit 6 from dividend 3675 and add 0 to the quotient

$$\begin{array}{l}\phantom{65)}0\phantom{2}\\65\overline{)3675}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 3675

$$\begin{array}{l}\phantom{65)}0\phantom{3}\\65\overline{)3675}\\\end{array}$$

Since 36 is less than 65, use the next digit 7 from dividend 3675 and add 0 to the quotient

$$\begin{array}{l}\phantom{65)}00\phantom{4}\\65\overline{)3675}\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 3675

$$\begin{array}{l}\phantom{65)}00\phantom{5}\\65\overline{)3675}\\\end{array}$$

Find closest multiple of 65 to 367. We see that 5 \times 65 = 325 is the nearest. Now subtract 325 from 367 to get reminder 42. Add 5 to quotient.

$$\begin{array}{l}\phantom{65)}005\phantom{6}\\65\overline{)3675}\\\phantom{65)}\underline{\phantom{}325\phantom{9}}\\\phantom{65)9}42\\\end{array}$$

Use the 4^{th} digit 5 from dividend 3675

$$\begin{array}{l}\phantom{65)}005\phantom{7}\\65\overline{)3675}\\\phantom{65)}\underline{\phantom{}325\phantom{9}}\\\phantom{65)9}425\\\end{array}$$

Find closest multiple of 65 to 425. We see that 6 \times 65 = 390 is the nearest. Now subtract 390 from 425 to get reminder 35. Add 6 to quotient.

$$\begin{array}{l}\phantom{65)}0056\phantom{8}\\65\overline{)3675}\\\phantom{65)}\underline{\phantom{}325\phantom{9}}\\\phantom{65)9}425\\\phantom{65)}\underline{\phantom{9}390\phantom{}}\\\phantom{65)99}35\\\end{array}$$

Since 35 is less than 65, stop the division. The reminder is 35. The topmost line 0056 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 56.

$$\text{Quotient: }56 \text{Reminder: }35$$

Factor

$$\frac{3 \cdot 5 \cdot 7 ^ {2}}{13} = 56\frac{7}{13} = 56.53846153846154$$