Solve 1000/56

$$\frac { 1000 } { 56 }$$

Evaluate

$$\frac{125}{7}\approx 17.857142857$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1000

$$\begin{array}{l}\phantom{56)}\phantom{1}\\56\overline{)1000}\\\end{array}$$

Since 1 is less than 56, use the next digit 0 from dividend 1000 and add 0 to the quotient

$$\begin{array}{l}\phantom{56)}0\phantom{2}\\56\overline{)1000}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 1000

$$\begin{array}{l}\phantom{56)}0\phantom{3}\\56\overline{)1000}\\\end{array}$$

Since 10 is less than 56, use the next digit 0 from dividend 1000 and add 0 to the quotient

$$\begin{array}{l}\phantom{56)}00\phantom{4}\\56\overline{)1000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 1000

$$\begin{array}{l}\phantom{56)}00\phantom{5}\\56\overline{)1000}\\\end{array}$$

Find closest multiple of 56 to 100. We see that 1 \times 56 = 56 is the nearest. Now subtract 56 from 100 to get reminder 44. Add 1 to quotient.

$$\begin{array}{l}\phantom{56)}001\phantom{6}\\56\overline{)1000}\\\phantom{56)}\underline{\phantom{9}56\phantom{9}}\\\phantom{56)9}44\\\end{array}$$

Use the 4^{th} digit 0 from dividend 1000

$$\begin{array}{l}\phantom{56)}001\phantom{7}\\56\overline{)1000}\\\phantom{56)}\underline{\phantom{9}56\phantom{9}}\\\phantom{56)9}440\\\end{array}$$

Find closest multiple of 56 to 440. We see that 7 \times 56 = 392 is the nearest. Now subtract 392 from 440 to get reminder 48. Add 7 to quotient.

$$\begin{array}{l}\phantom{56)}0017\phantom{8}\\56\overline{)1000}\\\phantom{56)}\underline{\phantom{9}56\phantom{9}}\\\phantom{56)9}440\\\phantom{56)}\underline{\phantom{9}392\phantom{}}\\\phantom{56)99}48\\\end{array}$$

Since 48 is less than 56, stop the division. The reminder is 48. The topmost line 0017 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 17.

$$\text{Quotient: }17 \text{Reminder: }48$$

Factor

$$\frac{5 ^ {3}}{7} = 17\frac{6}{7} = 17.857142857142858$$