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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 849 · 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. 1.870435 ÷ 998 =
  2. 2.69897 ÷ 97 =
  3. 3.73635 ÷ 98 =
  4. 4.79667 ÷ 88 =
  5. 5.571259 ÷ 988 =
  6. 6.198686 ÷ 997 =
  7. 7.69841 ÷ 89 =
  8. 8.556986 ÷ 988 =
  9. 9.518834 ÷ 997 =
  10. 10.521214 ÷ 997 =
  11. 11.3381 ÷ 8 =
  12. 12.7455 ÷ 8 =
  13. 13.282972 ÷ 997 =
  14. 14.988383 ÷ 989 =
  15. 15.492868 ÷ 997 =
  16. 16.82163 ÷ 89 =
  17. 17.508836 ÷ 988 =
  18. 18.9986 ÷ 98 =
  19. 19.9909 ÷ 8 =
  20. 20.21458 ÷ 98 =
  21. 21.805404 ÷ 897 =
  22. 22.64872 ÷ 97 =
  23. 23.50276 ÷ 88 =
  24. 24.17939 ÷ 96 =
  25. 25.517099 ÷ 897 =
  26. 26.3325 ÷ 8 =
  27. 27.217341 ÷ 998 =
  28. 28.8645 ÷ 98 =
  29. 29.93492 ÷ 89 =
  30. 30.518264 ÷ 998 =
  31. 31.663887 ÷ 989 =
  32. 32.224154 ÷ 989 =
  33. 33.52336 ÷ 96 =
  34. 34.56699 ÷ 96 =
  35. 35.46359 ÷ 96 =
  36. 36.1060 ÷ 8 =
  37. 37.412575 ÷ 989 =
  38. 38.136124 ÷ 897 =
  39. 39.28236 ÷ 96 =
  40. 40.3603 ÷ 96 =

Answer key

  1. 872 rem 179
  2. 720 rem 57
  3. 751 rem 37
  4. 905 rem 27
  5. 578 rem 195
  6. 199 rem 283
  7. 784 rem 65
  8. 563 rem 742
  9. 520 rem 394
  10. 522 rem 780
  11. 422 rem 5
  12. 931 rem 7
  13. 283 rem 821
  14. 999 rem 372
  15. 494 rem 350
  16. 923 rem 16
  17. 515 rem 16
  18. 101 rem 88
  19. 1238 rem 5
  20. 218 rem 94
  21. 897 rem 795
  22. 668 rem 76
  23. 571 rem 28
  24. 186 rem 83
  25. 576 rem 427
  26. 415 rem 5
  27. 217 rem 775
  28. 88 rem 21
  29. 1050 rem 42
  30. 519 rem 302
  31. 671 rem 268
  32. 226 rem 640
  33. 545 rem 16
  34. 590 rem 59
  35. 482 rem 87
  36. 132 rem 4
  37. 417 rem 162
  38. 151 rem 677
  39. 294 rem 12
  40. 37 rem 51

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