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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 476 · 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. 1.617 ÷ 8 =
  2. 2.46823 ÷ 98 =
  3. 3.80258 ÷ 97 =
  4. 4.548 ÷ 8 =
  5. 5.132544 ÷ 897 =
  6. 6.163552 ÷ 988 =
  7. 7.149467 ÷ 988 =
  8. 8.32754 ÷ 98 =
  9. 9.6581 ÷ 88 =
  10. 10.22528 ÷ 88 =
  11. 11.683534 ÷ 998 =
  12. 12.8018 ÷ 8 =
  13. 13.76622 ÷ 989 =
  14. 14.95973 ÷ 98 =
  15. 15.524297 ÷ 988 =
  16. 16.1865 ÷ 8 =
  17. 17.6513 ÷ 96 =
  18. 18.758 ÷ 8 =
  19. 19.8851 ÷ 8 =
  20. 20.230911 ÷ 988 =
  21. 21.49383 ÷ 89 =
  22. 22.871112 ÷ 989 =
  23. 23.637892 ÷ 997 =
  24. 24.54893 ÷ 97 =
  25. 25.4401 ÷ 8 =
  26. 26.3642 ÷ 8 =
  27. 27.556037 ÷ 897 =
  28. 28.402672 ÷ 997 =
  29. 29.67908 ÷ 89 =
  30. 30.514723 ÷ 997 =
  31. 31.53025 ÷ 897 =
  32. 32.719322 ÷ 988 =
  33. 33.25310 ÷ 98 =
  34. 34.52918 ÷ 98 =
  35. 35.81549 ÷ 96 =
  36. 36.9530 ÷ 98 =
  37. 37.643699 ÷ 997 =
  38. 38.216562 ÷ 897 =
  39. 39.8484 ÷ 8 =
  40. 40.811339 ÷ 998 =

Answer key

  1. 77 rem 1
  2. 477 rem 77
  3. 827 rem 39
  4. 68 rem 4
  5. 147 rem 685
  6. 165 rem 532
  7. 151 rem 279
  8. 334 rem 22
  9. 74 rem 69
  10. 256 rem 0
  11. 684 rem 902
  12. 1002 rem 2
  13. 77 rem 469
  14. 979 rem 31
  15. 530 rem 657
  16. 233 rem 1
  17. 67 rem 81
  18. 94 rem 6
  19. 1106 rem 3
  20. 233 rem 707
  21. 554 rem 77
  22. 880 rem 792
  23. 639 rem 809
  24. 565 rem 88
  25. 550 rem 1
  26. 455 rem 2
  27. 619 rem 794
  28. 403 rem 881
  29. 763 rem 1
  30. 516 rem 271
  31. 59 rem 102
  32. 728 rem 58
  33. 258 rem 26
  34. 539 rem 96
  35. 849 rem 45
  36. 97 rem 24
  37. 645 rem 634
  38. 241 rem 385
  39. 1060 rem 4
  40. 812 rem 963

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