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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 794 · 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. 1.1118 ÷ 98 =
  2. 2.508194 ÷ 897 =
  3. 3.9702 ÷ 97 =
  4. 4.72208 ÷ 988 =
  5. 5.56505 ÷ 89 =
  6. 6.4131 ÷ 98 =
  7. 7.53017 ÷ 96 =
  8. 8.8378 ÷ 8 =
  9. 9.47233 ÷ 88 =
  10. 10.82187 ÷ 89 =
  11. 11.4209 ÷ 8 =
  12. 12.39957 ÷ 89 =
  13. 13.76092 ÷ 97 =
  14. 14.99061 ÷ 97 =
  15. 15.6535 ÷ 8 =
  16. 16.55428 ÷ 89 =
  17. 17.766609 ÷ 988 =
  18. 18.491306 ÷ 997 =
  19. 19.2273 ÷ 8 =
  20. 20.412115 ÷ 998 =
  21. 21.130344 ÷ 989 =
  22. 22.23519 ÷ 97 =
  23. 23.27776 ÷ 97 =
  24. 24.75897 ÷ 88 =
  25. 25.904758 ÷ 997 =
  26. 26.86609 ÷ 989 =
  27. 27.449946 ÷ 897 =
  28. 28.239977 ÷ 998 =
  29. 29.349161 ÷ 988 =
  30. 30.179601 ÷ 989 =
  31. 31.18015 ÷ 88 =
  32. 32.633169 ÷ 988 =
  33. 33.51004 ÷ 89 =
  34. 34.39188 ÷ 89 =
  35. 35.17139 ÷ 989 =
  36. 36.813734 ÷ 897 =
  37. 37.1256 ÷ 88 =
  38. 38.67433 ÷ 96 =
  39. 39.17647 ÷ 97 =
  40. 40.71805 ÷ 98 =

Answer key

  1. 11 rem 40
  2. 566 rem 492
  3. 100 rem 2
  4. 73 rem 84
  5. 634 rem 79
  6. 42 rem 15
  7. 552 rem 25
  8. 1047 rem 2
  9. 536 rem 65
  10. 923 rem 40
  11. 526 rem 1
  12. 448 rem 85
  13. 784 rem 44
  14. 1021 rem 24
  15. 816 rem 7
  16. 622 rem 70
  17. 775 rem 909
  18. 492 rem 782
  19. 284 rem 1
  20. 412 rem 939
  21. 131 rem 785
  22. 242 rem 45
  23. 286 rem 34
  24. 862 rem 41
  25. 907 rem 479
  26. 87 rem 566
  27. 501 rem 549
  28. 240 rem 457
  29. 353 rem 397
  30. 181 rem 592
  31. 204 rem 63
  32. 640 rem 849
  33. 573 rem 7
  34. 440 rem 28
  35. 17 rem 326
  36. 907 rem 155
  37. 14 rem 24
  38. 702 rem 41
  39. 181 rem 90
  40. 732 rem 69

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