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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 306 · 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. 1.676526 ÷ 897 =
  2. 2.903583 ÷ 998 =
  3. 3.1828 ÷ 8 =
  4. 4.3524 ÷ 8 =
  5. 5.331619 ÷ 897 =
  6. 6.519055 ÷ 997 =
  7. 7.353903 ÷ 998 =
  8. 8.6023 ÷ 88 =
  9. 9.480040 ÷ 997 =
  10. 10.752092 ÷ 988 =
  11. 11.88609 ÷ 98 =
  12. 12.5978 ÷ 8 =
  13. 13.344950 ÷ 988 =
  14. 14.231832 ÷ 897 =
  15. 15.27606 ÷ 989 =
  16. 16.10660 ÷ 97 =
  17. 17.1341 ÷ 96 =
  18. 18.245927 ÷ 998 =
  19. 19.36370 ÷ 96 =
  20. 20.918896 ÷ 897 =
  21. 21.41078 ÷ 88 =
  22. 22.282175 ÷ 897 =
  23. 23.8686 ÷ 8 =
  24. 24.6681 ÷ 8 =
  25. 25.799407 ÷ 989 =
  26. 26.406701 ÷ 897 =
  27. 27.750701 ÷ 897 =
  28. 28.225 ÷ 8 =
  29. 29.66584 ÷ 97 =
  30. 30.359512 ÷ 988 =
  31. 31.15571 ÷ 96 =
  32. 32.626592 ÷ 998 =
  33. 33.322302 ÷ 998 =
  34. 34.944621 ÷ 988 =
  35. 35.84567 ÷ 98 =
  36. 36.826314 ÷ 989 =
  37. 37.114443 ÷ 897 =
  38. 38.1535 ÷ 97 =
  39. 39.886 ÷ 8 =
  40. 40.4371 ÷ 96 =

Answer key

  1. 754 rem 188
  2. 905 rem 393
  3. 228 rem 4
  4. 440 rem 4
  5. 369 rem 626
  6. 520 rem 615
  7. 354 rem 611
  8. 68 rem 39
  9. 481 rem 483
  10. 761 rem 224
  11. 904 rem 17
  12. 747 rem 2
  13. 349 rem 138
  14. 258 rem 406
  15. 27 rem 903
  16. 109 rem 87
  17. 13 rem 93
  18. 246 rem 419
  19. 378 rem 82
  20. 1024 rem 368
  21. 466 rem 70
  22. 314 rem 517
  23. 1085 rem 6
  24. 835 rem 1
  25. 808 rem 295
  26. 453 rem 360
  27. 836 rem 809
  28. 28 rem 1
  29. 686 rem 42
  30. 363 rem 868
  31. 162 rem 19
  32. 627 rem 846
  33. 322 rem 946
  34. 956 rem 93
  35. 862 rem 91
  36. 835 rem 499
  37. 127 rem 524
  38. 15 rem 80
  39. 110 rem 6
  40. 45 rem 51

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