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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 783 · 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. 1.91858 ÷ 97 =
  2. 2.67836 ÷ 89 =
  3. 3.769408 ÷ 897 =
  4. 4.62031 ÷ 97 =
  5. 5.83275 ÷ 98 =
  6. 6.433040 ÷ 988 =
  7. 7.83358 ÷ 97 =
  8. 8.603942 ÷ 989 =
  9. 9.904202 ÷ 998 =
  10. 10.54404 ÷ 89 =
  11. 11.227897 ÷ 989 =
  12. 12.420926 ÷ 997 =
  13. 13.8564 ÷ 8 =
  14. 14.98456 ÷ 98 =
  15. 15.392386 ÷ 897 =
  16. 16.180318 ÷ 988 =
  17. 17.864561 ÷ 998 =
  18. 18.9517 ÷ 97 =
  19. 19.91347 ÷ 96 =
  20. 20.836601 ÷ 989 =
  21. 21.612898 ÷ 989 =
  22. 22.54408 ÷ 96 =
  23. 23.250859 ÷ 998 =
  24. 24.733551 ÷ 897 =
  25. 25.81268 ÷ 96 =
  26. 26.62885 ÷ 97 =
  27. 27.623119 ÷ 998 =
  28. 28.3062 ÷ 8 =
  29. 29.97913 ÷ 897 =
  30. 30.523737 ÷ 989 =
  31. 31.115 ÷ 8 =
  32. 32.493332 ÷ 998 =
  33. 33.9366 ÷ 89 =
  34. 34.80287 ÷ 89 =
  35. 35.497793 ÷ 988 =
  36. 36.1583 ÷ 97 =
  37. 37.22928 ÷ 97 =
  38. 38.68845 ÷ 88 =
  39. 39.65475 ÷ 97 =
  40. 40.442467 ÷ 989 =

Answer key

  1. 946 rem 96
  2. 762 rem 18
  3. 857 rem 679
  4. 639 rem 48
  5. 849 rem 73
  6. 438 rem 296
  7. 859 rem 35
  8. 610 rem 652
  9. 906 rem 14
  10. 611 rem 25
  11. 230 rem 427
  12. 422 rem 192
  13. 1070 rem 4
  14. 1004 rem 64
  15. 437 rem 397
  16. 182 rem 502
  17. 866 rem 293
  18. 98 rem 11
  19. 951 rem 51
  20. 845 rem 896
  21. 619 rem 707
  22. 566 rem 72
  23. 251 rem 361
  24. 817 rem 702
  25. 846 rem 52
  26. 648 rem 29
  27. 624 rem 367
  28. 382 rem 6
  29. 109 rem 140
  30. 529 rem 556
  31. 14 rem 3
  32. 494 rem 320
  33. 105 rem 21
  34. 902 rem 9
  35. 503 rem 829
  36. 16 rem 31
  37. 236 rem 36
  38. 782 rem 29
  39. 675 rem 0
  40. 447 rem 384

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