Solve 25006div56

$$25006 \div 56$$

Evaluate

$$\frac{12503}{28}\approx 446.535714286$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 25006

$$\begin{array}{l}\phantom{56)}\phantom{1}\\56\overline{)25006}\\\end{array}$$

Since 2 is less than 56, use the next digit 5 from dividend 25006 and add 0 to the quotient

$$\begin{array}{l}\phantom{56)}0\phantom{2}\\56\overline{)25006}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 25006

$$\begin{array}{l}\phantom{56)}0\phantom{3}\\56\overline{)25006}\\\end{array}$$

Since 25 is less than 56, use the next digit 0 from dividend 25006 and add 0 to the quotient

$$\begin{array}{l}\phantom{56)}00\phantom{4}\\56\overline{)25006}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 25006

$$\begin{array}{l}\phantom{56)}00\phantom{5}\\56\overline{)25006}\\\end{array}$$

Find closest multiple of 56 to 250. We see that 4 \times 56 = 224 is the nearest. Now subtract 224 from 250 to get reminder 26. Add 4 to quotient.

$$\begin{array}{l}\phantom{56)}004\phantom{6}\\56\overline{)25006}\\\phantom{56)}\underline{\phantom{}224\phantom{99}}\\\phantom{56)9}26\\\end{array}$$

Use the 4^{th} digit 0 from dividend 25006

$$\begin{array}{l}\phantom{56)}004\phantom{7}\\56\overline{)25006}\\\phantom{56)}\underline{\phantom{}224\phantom{99}}\\\phantom{56)9}260\\\end{array}$$

Find closest multiple of 56 to 260. We see that 4 \times 56 = 224 is the nearest. Now subtract 224 from 260 to get reminder 36. Add 4 to quotient.

$$\begin{array}{l}\phantom{56)}0044\phantom{8}\\56\overline{)25006}\\\phantom{56)}\underline{\phantom{}224\phantom{99}}\\\phantom{56)9}260\\\phantom{56)}\underline{\phantom{9}224\phantom{9}}\\\phantom{56)99}36\\\end{array}$$

Use the 5^{th} digit 6 from dividend 25006

$$\begin{array}{l}\phantom{56)}0044\phantom{9}\\56\overline{)25006}\\\phantom{56)}\underline{\phantom{}224\phantom{99}}\\\phantom{56)9}260\\\phantom{56)}\underline{\phantom{9}224\phantom{9}}\\\phantom{56)99}366\\\end{array}$$

Find closest multiple of 56 to 366. We see that 6 \times 56 = 336 is the nearest. Now subtract 336 from 366 to get reminder 30. Add 6 to quotient.

$$\begin{array}{l}\phantom{56)}00446\phantom{10}\\56\overline{)25006}\\\phantom{56)}\underline{\phantom{}224\phantom{99}}\\\phantom{56)9}260\\\phantom{56)}\underline{\phantom{9}224\phantom{9}}\\\phantom{56)99}366\\\phantom{56)}\underline{\phantom{99}336\phantom{}}\\\phantom{56)999}30\\\end{array}$$

Since 30 is less than 56, stop the division. The reminder is 30. The topmost line 00446 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 446.

$$\text{Quotient: }446 \text{Reminder: }30$$

Factor

$$\frac{12503}{2 ^ {2} \cdot 7} = 446\frac{15}{28} = 446.5357142857143$$