Solve 55296div56=

$$55296 \div 56=$$

Evaluate

$$\frac{6912}{7}\approx 987.428571429$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 55296

$$\begin{array}{l}\phantom{56)}\phantom{1}\\56\overline{)55296}\\\end{array}$$

Since 5 is less than 56, use the next digit 5 from dividend 55296 and add 0 to the quotient

$$\begin{array}{l}\phantom{56)}0\phantom{2}\\56\overline{)55296}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 55296

$$\begin{array}{l}\phantom{56)}0\phantom{3}\\56\overline{)55296}\\\end{array}$$

Since 55 is less than 56, use the next digit 2 from dividend 55296 and add 0 to the quotient

$$\begin{array}{l}\phantom{56)}00\phantom{4}\\56\overline{)55296}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 55296

$$\begin{array}{l}\phantom{56)}00\phantom{5}\\56\overline{)55296}\\\end{array}$$

Find closest multiple of 56 to 552. We see that 9 \times 56 = 504 is the nearest. Now subtract 504 from 552 to get reminder 48. Add 9 to quotient.

$$\begin{array}{l}\phantom{56)}009\phantom{6}\\56\overline{)55296}\\\phantom{56)}\underline{\phantom{}504\phantom{99}}\\\phantom{56)9}48\\\end{array}$$

Use the 4^{th} digit 9 from dividend 55296

$$\begin{array}{l}\phantom{56)}009\phantom{7}\\56\overline{)55296}\\\phantom{56)}\underline{\phantom{}504\phantom{99}}\\\phantom{56)9}489\\\end{array}$$

Find closest multiple of 56 to 489. We see that 8 \times 56 = 448 is the nearest. Now subtract 448 from 489 to get reminder 41. Add 8 to quotient.

$$\begin{array}{l}\phantom{56)}0098\phantom{8}\\56\overline{)55296}\\\phantom{56)}\underline{\phantom{}504\phantom{99}}\\\phantom{56)9}489\\\phantom{56)}\underline{\phantom{9}448\phantom{9}}\\\phantom{56)99}41\\\end{array}$$

Use the 5^{th} digit 6 from dividend 55296

$$\begin{array}{l}\phantom{56)}0098\phantom{9}\\56\overline{)55296}\\\phantom{56)}\underline{\phantom{}504\phantom{99}}\\\phantom{56)9}489\\\phantom{56)}\underline{\phantom{9}448\phantom{9}}\\\phantom{56)99}416\\\end{array}$$

Find closest multiple of 56 to 416. We see that 7 \times 56 = 392 is the nearest. Now subtract 392 from 416 to get reminder 24. Add 7 to quotient.

$$\begin{array}{l}\phantom{56)}00987\phantom{10}\\56\overline{)55296}\\\phantom{56)}\underline{\phantom{}504\phantom{99}}\\\phantom{56)9}489\\\phantom{56)}\underline{\phantom{9}448\phantom{9}}\\\phantom{56)99}416\\\phantom{56)}\underline{\phantom{99}392\phantom{}}\\\phantom{56)999}24\\\end{array}$$

Since 24 is less than 56, stop the division. The reminder is 24. The topmost line 00987 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 987.

$$\text{Quotient: }987 \text{Reminder: }24$$

Factor

$$\frac{2 ^ {8} \cdot 3 ^ {3}}{7} = 987\frac{3}{7} = 987.4285714285714$$