Solve 4556/52

$$\frac{ 4556 }{ 52 }$$

Evaluate

$$\frac{1139}{13}\approx 87.615384615$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 4556

$$\begin{array}{l}\phantom{52)}\phantom{1}\\52\overline{)4556}\\\end{array}$$

Since 4 is less than 52, use the next digit 5 from dividend 4556 and add 0 to the quotient

$$\begin{array}{l}\phantom{52)}0\phantom{2}\\52\overline{)4556}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 4556

$$\begin{array}{l}\phantom{52)}0\phantom{3}\\52\overline{)4556}\\\end{array}$$

Since 45 is less than 52, use the next digit 5 from dividend 4556 and add 0 to the quotient

$$\begin{array}{l}\phantom{52)}00\phantom{4}\\52\overline{)4556}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 4556

$$\begin{array}{l}\phantom{52)}00\phantom{5}\\52\overline{)4556}\\\end{array}$$

Find closest multiple of 52 to 455. We see that 8 \times 52 = 416 is the nearest. Now subtract 416 from 455 to get reminder 39. Add 8 to quotient.

$$\begin{array}{l}\phantom{52)}008\phantom{6}\\52\overline{)4556}\\\phantom{52)}\underline{\phantom{}416\phantom{9}}\\\phantom{52)9}39\\\end{array}$$

Use the 4^{th} digit 6 from dividend 4556

$$\begin{array}{l}\phantom{52)}008\phantom{7}\\52\overline{)4556}\\\phantom{52)}\underline{\phantom{}416\phantom{9}}\\\phantom{52)9}396\\\end{array}$$

Find closest multiple of 52 to 396. We see that 7 \times 52 = 364 is the nearest. Now subtract 364 from 396 to get reminder 32. Add 7 to quotient.

$$\begin{array}{l}\phantom{52)}0087\phantom{8}\\52\overline{)4556}\\\phantom{52)}\underline{\phantom{}416\phantom{9}}\\\phantom{52)9}396\\\phantom{52)}\underline{\phantom{9}364\phantom{}}\\\phantom{52)99}32\\\end{array}$$

Since 32 is less than 52, stop the division. The reminder is 32. The topmost line 0087 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 87.

$$\text{Quotient: }87 \text{Reminder: }32$$

Factor

$$\frac{17 \cdot 67}{13} = 87\frac{8}{13} = 87.61538461538461$$