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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 325 · 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. 1.6198 ÷ 8 =
  2. 2.47552 ÷ 98 =
  3. 3.5884 ÷ 96 =
  4. 4.135997 ÷ 988 =
  5. 5.89178 ÷ 97 =
  6. 6.7025 ÷ 96 =
  7. 7.98449 ÷ 897 =
  8. 8.643849 ÷ 989 =
  9. 9.251180 ÷ 998 =
  10. 10.17269 ÷ 98 =
  11. 11.139835 ÷ 989 =
  12. 12.724153 ÷ 998 =
  13. 13.450884 ÷ 989 =
  14. 14.649253 ÷ 989 =
  15. 15.231057 ÷ 989 =
  16. 16.57407 ÷ 98 =
  17. 17.50233 ÷ 97 =
  18. 18.40140 ÷ 98 =
  19. 19.97888 ÷ 97 =
  20. 20.923080 ÷ 988 =
  21. 21.2142 ÷ 98 =
  22. 22.70259 ÷ 988 =
  23. 23.78585 ÷ 98 =
  24. 24.374362 ÷ 988 =
  25. 25.707952 ÷ 997 =
  26. 26.776211 ÷ 989 =
  27. 27.648 ÷ 8 =
  28. 28.72855 ÷ 98 =
  29. 29.156516 ÷ 989 =
  30. 30.1394 ÷ 98 =
  31. 31.19186 ÷ 97 =
  32. 32.293632 ÷ 997 =
  33. 33.352494 ÷ 989 =
  34. 34.299 ÷ 8 =
  35. 35.10956 ÷ 98 =
  36. 36.71786 ÷ 88 =
  37. 37.162818 ÷ 989 =
  38. 38.240797 ÷ 897 =
  39. 39.980578 ÷ 998 =
  40. 40.67346 ÷ 98 =

Answer key

  1. 774 rem 6
  2. 485 rem 22
  3. 61 rem 28
  4. 137 rem 641
  5. 919 rem 35
  6. 73 rem 17
  7. 109 rem 676
  8. 651 rem 10
  9. 251 rem 682
  10. 176 rem 21
  11. 141 rem 386
  12. 725 rem 603
  13. 455 rem 889
  14. 656 rem 469
  15. 233 rem 620
  16. 585 rem 77
  17. 517 rem 84
  18. 409 rem 58
  19. 1009 rem 15
  20. 934 rem 288
  21. 21 rem 84
  22. 71 rem 111
  23. 801 rem 87
  24. 378 rem 898
  25. 710 rem 82
  26. 784 rem 835
  27. 81 rem 0
  28. 743 rem 41
  29. 158 rem 254
  30. 14 rem 22
  31. 197 rem 77
  32. 294 rem 514
  33. 356 rem 410
  34. 37 rem 3
  35. 111 rem 78
  36. 815 rem 66
  37. 164 rem 622
  38. 268 rem 401
  39. 982 rem 542
  40. 687 rem 20

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