Solve 895div56

$$895 \div 56$$

Evaluate

$$\frac{895}{56}\approx 15.982142857$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 895

$$\begin{array}{l}\phantom{56)}\phantom{1}\\56\overline{)895}\\\end{array}$$

Since 8 is less than 56, use the next digit 9 from dividend 895 and add 0 to the quotient

$$\begin{array}{l}\phantom{56)}0\phantom{2}\\56\overline{)895}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 895

$$\begin{array}{l}\phantom{56)}0\phantom{3}\\56\overline{)895}\\\end{array}$$

Find closest multiple of 56 to 89. We see that 1 \times 56 = 56 is the nearest. Now subtract 56 from 89 to get reminder 33. Add 1 to quotient.

$$\begin{array}{l}\phantom{56)}01\phantom{4}\\56\overline{)895}\\\phantom{56)}\underline{\phantom{}56\phantom{9}}\\\phantom{56)}33\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 895

$$\begin{array}{l}\phantom{56)}01\phantom{5}\\56\overline{)895}\\\phantom{56)}\underline{\phantom{}56\phantom{9}}\\\phantom{56)}335\\\end{array}$$

Find closest multiple of 56 to 335. We see that 5 \times 56 = 280 is the nearest. Now subtract 280 from 335 to get reminder 55. Add 5 to quotient.

$$\begin{array}{l}\phantom{56)}015\phantom{6}\\56\overline{)895}\\\phantom{56)}\underline{\phantom{}56\phantom{9}}\\\phantom{56)}335\\\phantom{56)}\underline{\phantom{}280\phantom{}}\\\phantom{56)9}55\\\end{array}$$

Since 55 is less than 56, stop the division. The reminder is 55. The topmost line 015 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 15.

$$\text{Quotient: }15 \text{Reminder: }55$$

Factor

$$\frac{5 \cdot 179}{2 ^ {3} \cdot 7} = 15\frac{55}{56} = 15.982142857142858$$