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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 675 · 40 sums
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The trick (Nikhilam Navatashcaramam Dashatah): Write the complement of the divisor (8 → 2, 97 → 03, 88 → 12, 997 → 003, 897 → 103). Split off as many last digits as the base has zeros (1 for 8, 2 for 88, 3 for 997) — that is the remainder part. Bring down each column total, multiply it by the complement, and add the result under the next column(s). If the remainder is not smaller than the divisor, divide it again and add to the quotient.

NameDateTime takenScore ___ / 40
  1. 1.323788 ÷ 897 =
  2. 2.2764 ÷ 89 =
  3. 3.271069 ÷ 988 =
  4. 4.22861 ÷ 96 =
  5. 5.937789 ÷ 988 =
  6. 6.368729 ÷ 989 =
  7. 7.11132 ÷ 89 =
  8. 8.176 ÷ 8 =
  9. 9.8250 ÷ 97 =
  10. 10.32520 ÷ 97 =
  11. 11.32498 ÷ 88 =
  12. 12.23470 ÷ 89 =
  13. 13.50167 ÷ 89 =
  14. 14.184081 ÷ 897 =
  15. 15.565058 ÷ 997 =
  16. 16.708324 ÷ 988 =
  17. 17.597617 ÷ 998 =
  18. 18.840465 ÷ 989 =
  19. 19.34246 ÷ 89 =
  20. 20.7848 ÷ 98 =
  21. 21.763508 ÷ 897 =
  22. 22.356309 ÷ 997 =
  23. 23.327848 ÷ 897 =
  24. 24.29289 ÷ 97 =
  25. 25.124425 ÷ 988 =
  26. 26.8017 ÷ 8 =
  27. 27.904879 ÷ 897 =
  28. 28.93611 ÷ 89 =
  29. 29.1017 ÷ 8 =
  30. 30.224669 ÷ 998 =
  31. 31.65738 ÷ 97 =
  32. 32.4066 ÷ 8 =
  33. 33.47935 ÷ 98 =
  34. 34.54592 ÷ 96 =
  35. 35.638707 ÷ 897 =
  36. 36.23231 ÷ 96 =
  37. 37.61370 ÷ 97 =
  38. 38.58808 ÷ 89 =
  39. 39.59783 ÷ 897 =
  40. 40.7678 ÷ 8 =

Answer key

  1. 360 rem 868
  2. 31 rem 5
  3. 274 rem 357
  4. 238 rem 13
  5. 949 rem 177
  6. 372 rem 821
  7. 125 rem 7
  8. 22 rem 0
  9. 85 rem 5
  10. 335 rem 25
  11. 369 rem 26
  12. 263 rem 63
  13. 563 rem 60
  14. 205 rem 196
  15. 566 rem 756
  16. 716 rem 916
  17. 598 rem 813
  18. 849 rem 804
  19. 384 rem 70
  20. 80 rem 8
  21. 851 rem 161
  22. 357 rem 380
  23. 365 rem 443
  24. 301 rem 92
  25. 125 rem 925
  26. 1002 rem 1
  27. 1008 rem 703
  28. 1051 rem 72
  29. 127 rem 1
  30. 225 rem 119
  31. 677 rem 69
  32. 508 rem 2
  33. 489 rem 13
  34. 568 rem 64
  35. 712 rem 43
  36. 241 rem 95
  37. 632 rem 66
  38. 660 rem 68
  39. 66 rem 581
  40. 959 rem 6

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