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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 333 · 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. 1.904196 ÷ 897 =
  2. 2.78963 ÷ 89 =
  3. 3.497078 ÷ 998 =
  4. 4.268814 ÷ 998 =
  5. 5.39280 ÷ 98 =
  6. 6.70364 ÷ 89 =
  7. 7.16704 ÷ 98 =
  8. 8.48265 ÷ 96 =
  9. 9.67614 ÷ 88 =
  10. 10.22555 ÷ 88 =
  11. 11.167460 ÷ 989 =
  12. 12.5848 ÷ 8 =
  13. 13.151135 ÷ 997 =
  14. 14.86407 ÷ 97 =
  15. 15.905694 ÷ 988 =
  16. 16.80888 ÷ 89 =
  17. 17.56096 ÷ 88 =
  18. 18.37044 ÷ 98 =
  19. 19.45841 ÷ 97 =
  20. 20.3130 ÷ 88 =
  21. 21.59718 ÷ 89 =
  22. 22.256720 ÷ 897 =
  23. 23.651204 ÷ 897 =
  24. 24.67045 ÷ 96 =
  25. 25.85839 ÷ 98 =
  26. 26.27909 ÷ 96 =
  27. 27.647589 ÷ 897 =
  28. 28.3411 ÷ 8 =
  29. 29.94209 ÷ 88 =
  30. 30.84422 ÷ 97 =
  31. 31.363443 ÷ 997 =
  32. 32.167008 ÷ 989 =
  33. 33.442083 ÷ 897 =
  34. 34.55496 ÷ 97 =
  35. 35.43996 ÷ 89 =
  36. 36.46276 ÷ 89 =
  37. 37.429655 ÷ 989 =
  38. 38.536683 ÷ 998 =
  39. 39.5080 ÷ 98 =
  40. 40.2341 ÷ 8 =

Answer key

  1. 1008 rem 20
  2. 887 rem 20
  3. 498 rem 74
  4. 269 rem 352
  5. 400 rem 80
  6. 790 rem 54
  7. 170 rem 44
  8. 502 rem 73
  9. 768 rem 30
  10. 256 rem 27
  11. 169 rem 319
  12. 731 rem 0
  13. 151 rem 588
  14. 890 rem 77
  15. 916 rem 686
  16. 908 rem 76
  17. 637 rem 40
  18. 378 rem 0
  19. 472 rem 57
  20. 35 rem 50
  21. 670 rem 88
  22. 286 rem 178
  23. 725 rem 879
  24. 698 rem 37
  25. 875 rem 89
  26. 290 rem 69
  27. 721 rem 852
  28. 426 rem 3
  29. 1070 rem 49
  30. 870 rem 32
  31. 364 rem 535
  32. 168 rem 856
  33. 492 rem 759
  34. 572 rem 12
  35. 494 rem 30
  36. 519 rem 85
  37. 434 rem 429
  38. 537 rem 757
  39. 51 rem 82
  40. 292 rem 5

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