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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 840 · 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. 1.33504 ÷ 97 =
  2. 2.85390 ÷ 98 =
  3. 3.481136 ÷ 997 =
  4. 4.82229 ÷ 96 =
  5. 5.10147 ÷ 88 =
  6. 6.32719 ÷ 96 =
  7. 7.51069 ÷ 98 =
  8. 8.458777 ÷ 897 =
  9. 9.80100 ÷ 97 =
  10. 10.42862 ÷ 98 =
  11. 11.916498 ÷ 897 =
  12. 12.347995 ÷ 897 =
  13. 13.33253 ÷ 97 =
  14. 14.99587 ÷ 89 =
  15. 15.26065 ÷ 88 =
  16. 16.342045 ÷ 988 =
  17. 17.73087 ÷ 97 =
  18. 18.51487 ÷ 98 =
  19. 19.377 ÷ 8 =
  20. 20.49457 ÷ 96 =
  21. 21.179712 ÷ 998 =
  22. 22.35718 ÷ 88 =
  23. 23.50184 ÷ 96 =
  24. 24.252251 ÷ 988 =
  25. 25.846678 ÷ 997 =
  26. 26.49052 ÷ 88 =
  27. 27.1626 ÷ 8 =
  28. 28.756698 ÷ 997 =
  29. 29.68664 ÷ 989 =
  30. 30.74194 ÷ 97 =
  31. 31.94465 ÷ 97 =
  32. 32.588558 ÷ 997 =
  33. 33.889370 ÷ 997 =
  34. 34.327597 ÷ 989 =
  35. 35.13019 ÷ 989 =
  36. 36.78431 ÷ 97 =
  37. 37.141346 ÷ 997 =
  38. 38.93958 ÷ 96 =
  39. 39.2455 ÷ 8 =
  40. 40.5663 ÷ 89 =

Answer key

  1. 345 rem 39
  2. 871 rem 32
  3. 482 rem 582
  4. 856 rem 53
  5. 115 rem 27
  6. 340 rem 79
  7. 521 rem 11
  8. 511 rem 410
  9. 825 rem 75
  10. 437 rem 36
  11. 1021 rem 661
  12. 387 rem 856
  13. 342 rem 79
  14. 1118 rem 85
  15. 296 rem 17
  16. 346 rem 197
  17. 753 rem 46
  18. 525 rem 37
  19. 47 rem 1
  20. 515 rem 17
  21. 180 rem 72
  22. 405 rem 78
  23. 522 rem 72
  24. 255 rem 311
  25. 849 rem 225
  26. 557 rem 36
  27. 203 rem 2
  28. 758 rem 972
  29. 69 rem 423
  30. 764 rem 86
  31. 973 rem 84
  32. 590 rem 328
  33. 892 rem 46
  34. 331 rem 238
  35. 13 rem 162
  36. 808 rem 55
  37. 141 rem 769
  38. 978 rem 70
  39. 306 rem 7
  40. 63 rem 56

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