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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 227 · 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. 1.39678 ÷ 88 =
  2. 2.757101 ÷ 988 =
  3. 3.38053 ÷ 97 =
  4. 4.74788 ÷ 96 =
  5. 5.81930 ÷ 97 =
  6. 6.212322 ÷ 998 =
  7. 7.324088 ÷ 897 =
  8. 8.176402 ÷ 988 =
  9. 9.14938 ÷ 98 =
  10. 10.652038 ÷ 989 =
  11. 11.20645 ÷ 96 =
  12. 12.73023 ÷ 89 =
  13. 13.58179 ÷ 98 =
  14. 14.683310 ÷ 997 =
  15. 15.15368 ÷ 98 =
  16. 16.85343 ÷ 97 =
  17. 17.42250 ÷ 96 =
  18. 18.48486 ÷ 98 =
  19. 19.74465 ÷ 98 =
  20. 20.49919 ÷ 96 =
  21. 21.830588 ÷ 989 =
  22. 22.26808 ÷ 98 =
  23. 23.125809 ÷ 897 =
  24. 24.340039 ÷ 988 =
  25. 25.882104 ÷ 988 =
  26. 26.9837 ÷ 8 =
  27. 27.66651 ÷ 89 =
  28. 28.4264 ÷ 96 =
  29. 29.312771 ÷ 997 =
  30. 30.686875 ÷ 989 =
  31. 31.381398 ÷ 997 =
  32. 32.21578 ÷ 97 =
  33. 33.364696 ÷ 988 =
  34. 34.9451 ÷ 8 =
  35. 35.865055 ÷ 988 =
  36. 36.668 ÷ 8 =
  37. 37.434269 ÷ 997 =
  38. 38.12251 ÷ 88 =
  39. 39.85508 ÷ 97 =
  40. 40.4063 ÷ 8 =

Answer key

  1. 450 rem 78
  2. 766 rem 293
  3. 392 rem 29
  4. 779 rem 4
  5. 844 rem 62
  6. 212 rem 746
  7. 361 rem 271
  8. 178 rem 538
  9. 152 rem 42
  10. 659 rem 287
  11. 215 rem 5
  12. 820 rem 43
  13. 593 rem 65
  14. 685 rem 365
  15. 156 rem 80
  16. 879 rem 80
  17. 440 rem 10
  18. 494 rem 74
  19. 759 rem 83
  20. 519 rem 95
  21. 839 rem 817
  22. 273 rem 54
  23. 140 rem 229
  24. 344 rem 167
  25. 892 rem 808
  26. 1229 rem 5
  27. 748 rem 79
  28. 44 rem 40
  29. 313 rem 710
  30. 694 rem 509
  31. 382 rem 544
  32. 222 rem 44
  33. 369 rem 124
  34. 1181 rem 3
  35. 875 rem 555
  36. 83 rem 4
  37. 435 rem 574
  38. 139 rem 19
  39. 881 rem 51
  40. 507 rem 7

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