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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 599 · 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. 1.983103 ÷ 989 =
  2. 2.878158 ÷ 998 =
  3. 3.10418 ÷ 97 =
  4. 4.3395 ÷ 8 =
  5. 5.72995 ÷ 89 =
  6. 6.29725 ÷ 96 =
  7. 7.53548 ÷ 89 =
  8. 8.345847 ÷ 998 =
  9. 9.454885 ÷ 988 =
  10. 10.729734 ÷ 988 =
  11. 11.1488 ÷ 8 =
  12. 12.152626 ÷ 897 =
  13. 13.5341 ÷ 8 =
  14. 14.7766 ÷ 8 =
  15. 15.10035 ÷ 98 =
  16. 16.640323 ÷ 997 =
  17. 17.94315 ÷ 98 =
  18. 18.612338 ÷ 897 =
  19. 19.2393 ÷ 8 =
  20. 20.159135 ÷ 997 =
  21. 21.941539 ÷ 897 =
  22. 22.569945 ÷ 988 =
  23. 23.430594 ÷ 997 =
  24. 24.4572 ÷ 8 =
  25. 25.186667 ÷ 989 =
  26. 26.5238 ÷ 89 =
  27. 27.32924 ÷ 96 =
  28. 28.756251 ÷ 997 =
  29. 29.72053 ÷ 98 =
  30. 30.446130 ÷ 989 =
  31. 31.11592 ÷ 96 =
  32. 32.2385 ÷ 88 =
  33. 33.838626 ÷ 988 =
  34. 34.402130 ÷ 998 =
  35. 35.72903 ÷ 97 =
  36. 36.17679 ÷ 97 =
  37. 37.778522 ÷ 998 =
  38. 38.68524 ÷ 89 =
  39. 39.24257 ÷ 96 =
  40. 40.95668 ÷ 98 =

Answer key

  1. 994 rem 37
  2. 879 rem 916
  3. 107 rem 39
  4. 424 rem 3
  5. 820 rem 15
  6. 309 rem 61
  7. 601 rem 59
  8. 346 rem 539
  9. 460 rem 405
  10. 738 rem 590
  11. 186 rem 0
  12. 170 rem 136
  13. 667 rem 5
  14. 970 rem 6
  15. 102 rem 39
  16. 642 rem 249
  17. 962 rem 39
  18. 682 rem 584
  19. 299 rem 1
  20. 159 rem 612
  21. 1049 rem 586
  22. 576 rem 857
  23. 431 rem 887
  24. 571 rem 4
  25. 188 rem 735
  26. 58 rem 76
  27. 342 rem 92
  28. 758 rem 525
  29. 735 rem 23
  30. 451 rem 91
  31. 120 rem 72
  32. 27 rem 9
  33. 848 rem 802
  34. 402 rem 934
  35. 751 rem 56
  36. 182 rem 25
  37. 780 rem 82
  38. 769 rem 83
  39. 252 rem 65
  40. 976 rem 20

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