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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 963 · 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. 1.70290 ÷ 988 =
  2. 2.842461 ÷ 989 =
  3. 3.53001 ÷ 97 =
  4. 4.580573 ÷ 988 =
  5. 5.206882 ÷ 989 =
  6. 6.93680 ÷ 89 =
  7. 7.89375 ÷ 988 =
  8. 8.78786 ÷ 97 =
  9. 9.847075 ÷ 988 =
  10. 10.432357 ÷ 988 =
  11. 11.33403 ÷ 96 =
  12. 12.488309 ÷ 897 =
  13. 13.80400 ÷ 89 =
  14. 14.9777 ÷ 8 =
  15. 15.56653 ÷ 88 =
  16. 16.909158 ÷ 989 =
  17. 17.531355 ÷ 989 =
  18. 18.8573 ÷ 8 =
  19. 19.7769 ÷ 88 =
  20. 20.60147 ÷ 98 =
  21. 21.888774 ÷ 989 =
  22. 22.70883 ÷ 97 =
  23. 23.569205 ÷ 897 =
  24. 24.73710 ÷ 97 =
  25. 25.29094 ÷ 88 =
  26. 26.39670 ÷ 97 =
  27. 27.74617 ÷ 97 =
  28. 28.697146 ÷ 997 =
  29. 29.776685 ÷ 989 =
  30. 30.27888 ÷ 98 =
  31. 31.663151 ÷ 998 =
  32. 32.27849 ÷ 989 =
  33. 33.912033 ÷ 988 =
  34. 34.937777 ÷ 989 =
  35. 35.449 ÷ 8 =
  36. 36.49633 ÷ 98 =
  37. 37.58423 ÷ 88 =
  38. 38.88749 ÷ 89 =
  39. 39.412284 ÷ 998 =
  40. 40.12845 ÷ 97 =

Answer key

  1. 71 rem 142
  2. 851 rem 822
  3. 546 rem 39
  4. 587 rem 617
  5. 209 rem 181
  6. 1052 rem 52
  7. 90 rem 455
  8. 812 rem 22
  9. 857 rem 359
  10. 437 rem 601
  11. 347 rem 91
  12. 544 rem 341
  13. 903 rem 33
  14. 1222 rem 1
  15. 643 rem 69
  16. 919 rem 267
  17. 537 rem 262
  18. 1071 rem 5
  19. 88 rem 25
  20. 613 rem 73
  21. 898 rem 652
  22. 730 rem 73
  23. 634 rem 507
  24. 759 rem 87
  25. 330 rem 54
  26. 408 rem 94
  27. 769 rem 24
  28. 699 rem 243
  29. 785 rem 320
  30. 284 rem 56
  31. 664 rem 479
  32. 28 rem 157
  33. 923 rem 109
  34. 948 rem 205
  35. 56 rem 1
  36. 506 rem 45
  37. 663 rem 79
  38. 997 rem 16
  39. 413 rem 110
  40. 132 rem 41

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