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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 626 · 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. 1.60246 ÷ 97 =
  2. 2.323122 ÷ 997 =
  3. 3.91623 ÷ 897 =
  4. 4.258549 ÷ 897 =
  5. 5.91814 ÷ 96 =
  6. 6.563537 ÷ 997 =
  7. 7.505891 ÷ 988 =
  8. 8.11924 ÷ 98 =
  9. 9.99539 ÷ 89 =
  10. 10.39508 ÷ 98 =
  11. 11.199425 ÷ 988 =
  12. 12.1140 ÷ 8 =
  13. 13.236668 ÷ 897 =
  14. 14.50528 ÷ 96 =
  15. 15.2969 ÷ 8 =
  16. 16.311435 ÷ 897 =
  17. 17.71066 ÷ 89 =
  18. 18.73493 ÷ 88 =
  19. 19.33034 ÷ 88 =
  20. 20.9318 ÷ 8 =
  21. 21.238317 ÷ 997 =
  22. 22.679263 ÷ 988 =
  23. 23.53122 ÷ 97 =
  24. 24.93753 ÷ 89 =
  25. 25.7517 ÷ 98 =
  26. 26.447336 ÷ 997 =
  27. 27.7686 ÷ 97 =
  28. 28.741490 ÷ 998 =
  29. 29.36053 ÷ 96 =
  30. 30.333244 ÷ 997 =
  31. 31.65344 ÷ 88 =
  32. 32.10517 ÷ 97 =
  33. 33.4040 ÷ 8 =
  34. 34.553469 ÷ 997 =
  35. 35.877772 ÷ 897 =
  36. 36.25146 ÷ 998 =
  37. 37.54786 ÷ 98 =
  38. 38.74435 ÷ 89 =
  39. 39.22592 ÷ 88 =
  40. 40.33278 ÷ 97 =

Answer key

  1. 621 rem 9
  2. 324 rem 94
  3. 102 rem 129
  4. 288 rem 213
  5. 956 rem 38
  6. 565 rem 232
  7. 512 rem 35
  8. 121 rem 66
  9. 1118 rem 37
  10. 403 rem 14
  11. 201 rem 837
  12. 142 rem 4
  13. 263 rem 757
  14. 526 rem 32
  15. 371 rem 1
  16. 347 rem 176
  17. 798 rem 44
  18. 835 rem 13
  19. 375 rem 34
  20. 1164 rem 6
  21. 239 rem 34
  22. 687 rem 507
  23. 547 rem 63
  24. 1053 rem 36
  25. 76 rem 69
  26. 448 rem 680
  27. 79 rem 23
  28. 742 rem 974
  29. 375 rem 53
  30. 334 rem 246
  31. 742 rem 48
  32. 108 rem 41
  33. 505 rem 0
  34. 555 rem 134
  35. 978 rem 506
  36. 25 rem 196
  37. 559 rem 4
  38. 836 rem 31
  39. 256 rem 64
  40. 343 rem 7

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