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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 2 · 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. 1.837228 ÷ 989 =
  2. 2.497813 ÷ 989 =
  3. 3.113249 ÷ 988 =
  4. 4.801083 ÷ 997 =
  5. 5.593003 ÷ 897 =
  6. 6.30833 ÷ 997 =
  7. 7.261708 ÷ 998 =
  8. 8.54935 ÷ 97 =
  9. 9.80529 ÷ 98 =
  10. 10.220898 ÷ 997 =
  11. 11.265284 ÷ 998 =
  12. 12.67243 ÷ 96 =
  13. 13.87652 ÷ 97 =
  14. 14.9511 ÷ 8 =
  15. 15.56843 ÷ 988 =
  16. 16.4777 ÷ 8 =
  17. 17.12218 ÷ 96 =
  18. 18.615728 ÷ 989 =
  19. 19.49935 ÷ 998 =
  20. 20.7221 ÷ 89 =
  21. 21.935681 ÷ 997 =
  22. 22.357207 ÷ 989 =
  23. 23.11566 ÷ 96 =
  24. 24.13824 ÷ 89 =
  25. 25.310182 ÷ 997 =
  26. 26.319964 ÷ 998 =
  27. 27.377 ÷ 8 =
  28. 28.826458 ÷ 997 =
  29. 29.2081 ÷ 8 =
  30. 30.580164 ÷ 989 =
  31. 31.249657 ÷ 997 =
  32. 32.4921 ÷ 8 =
  33. 33.1084 ÷ 8 =
  34. 34.90624 ÷ 97 =
  35. 35.2616 ÷ 8 =
  36. 36.469750 ÷ 988 =
  37. 37.6747 ÷ 89 =
  38. 38.1366 ÷ 8 =
  39. 39.355656 ÷ 989 =
  40. 40.892516 ÷ 897 =

Answer key

  1. 846 rem 534
  2. 503 rem 346
  3. 114 rem 617
  4. 803 rem 492
  5. 661 rem 86
  6. 30 rem 923
  7. 262 rem 232
  8. 566 rem 33
  9. 821 rem 71
  10. 221 rem 561
  11. 265 rem 814
  12. 700 rem 43
  13. 903 rem 61
  14. 1188 rem 7
  15. 57 rem 527
  16. 597 rem 1
  17. 127 rem 26
  18. 622 rem 570
  19. 50 rem 35
  20. 81 rem 12
  21. 938 rem 495
  22. 361 rem 178
  23. 120 rem 46
  24. 155 rem 29
  25. 311 rem 115
  26. 320 rem 604
  27. 47 rem 1
  28. 828 rem 942
  29. 260 rem 1
  30. 586 rem 610
  31. 250 rem 407
  32. 615 rem 1
  33. 135 rem 4
  34. 934 rem 26
  35. 327 rem 0
  36. 475 rem 450
  37. 75 rem 72
  38. 170 rem 6
  39. 359 rem 605
  40. 995 rem 1

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