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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 768 · 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. 1.62187 ÷ 96 =
  2. 2.557442 ÷ 997 =
  3. 3.206610 ÷ 997 =
  4. 4.77941 ÷ 98 =
  5. 5.765816 ÷ 988 =
  6. 6.940826 ÷ 988 =
  7. 7.40280 ÷ 997 =
  8. 8.43331 ÷ 96 =
  9. 9.21857 ÷ 89 =
  10. 10.5613 ÷ 8 =
  11. 11.2269 ÷ 8 =
  12. 12.5772 ÷ 97 =
  13. 13.110817 ÷ 989 =
  14. 14.670290 ÷ 988 =
  15. 15.39375 ÷ 89 =
  16. 16.69572 ÷ 98 =
  17. 17.49372 ÷ 97 =
  18. 18.12508 ÷ 89 =
  19. 19.22563 ÷ 98 =
  20. 20.548223 ÷ 897 =
  21. 21.12508 ÷ 89 =
  22. 22.5703 ÷ 8 =
  23. 23.216459 ÷ 989 =
  24. 24.20764 ÷ 989 =
  25. 25.155999 ÷ 998 =
  26. 26.33130 ÷ 89 =
  27. 27.181575 ÷ 997 =
  28. 28.238909 ÷ 997 =
  29. 29.69541 ÷ 97 =
  30. 30.725154 ÷ 998 =
  31. 31.219854 ÷ 998 =
  32. 32.755598 ÷ 897 =
  33. 33.543812 ÷ 897 =
  34. 34.31215 ÷ 998 =
  35. 35.51866 ÷ 97 =
  36. 36.59752 ÷ 97 =
  37. 37.734646 ÷ 998 =
  38. 38.289658 ÷ 988 =
  39. 39.58977 ÷ 96 =
  40. 40.187185 ÷ 998 =

Answer key

  1. 647 rem 75
  2. 559 rem 119
  3. 207 rem 231
  4. 795 rem 31
  5. 775 rem 116
  6. 952 rem 250
  7. 40 rem 400
  8. 451 rem 35
  9. 245 rem 52
  10. 701 rem 5
  11. 283 rem 5
  12. 59 rem 49
  13. 112 rem 49
  14. 678 rem 426
  15. 442 rem 37
  16. 709 rem 90
  17. 508 rem 96
  18. 140 rem 48
  19. 230 rem 23
  20. 611 rem 156
  21. 140 rem 48
  22. 712 rem 7
  23. 218 rem 857
  24. 20 rem 984
  25. 156 rem 311
  26. 372 rem 22
  27. 182 rem 121
  28. 239 rem 626
  29. 716 rem 89
  30. 726 rem 606
  31. 220 rem 294
  32. 842 rem 324
  33. 606 rem 230
  34. 31 rem 277
  35. 534 rem 68
  36. 616 rem 0
  37. 736 rem 118
  38. 293 rem 174
  39. 614 rem 33
  40. 187 rem 559

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