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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 418 · 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. 1.376353 ÷ 997 =
  2. 2.20656 ÷ 96 =
  3. 3.1221 ÷ 8 =
  4. 4.746539 ÷ 897 =
  5. 5.4302 ÷ 8 =
  6. 6.40011 ÷ 89 =
  7. 7.303832 ÷ 988 =
  8. 8.52646 ÷ 96 =
  9. 9.779571 ÷ 998 =
  10. 10.468831 ÷ 988 =
  11. 11.462520 ÷ 988 =
  12. 12.7038 ÷ 8 =
  13. 13.889789 ÷ 998 =
  14. 14.854192 ÷ 897 =
  15. 15.411421 ÷ 988 =
  16. 16.29877 ÷ 96 =
  17. 17.42376 ÷ 98 =
  18. 18.953533 ÷ 989 =
  19. 19.273604 ÷ 997 =
  20. 20.237960 ÷ 988 =
  21. 21.530316 ÷ 897 =
  22. 22.164525 ÷ 988 =
  23. 23.2287 ÷ 8 =
  24. 24.842327 ÷ 897 =
  25. 25.94288 ÷ 97 =
  26. 26.223732 ÷ 989 =
  27. 27.61024 ÷ 98 =
  28. 28.40861 ÷ 97 =
  29. 29.17737 ÷ 88 =
  30. 30.32485 ÷ 997 =
  31. 31.852951 ÷ 989 =
  32. 32.1168 ÷ 8 =
  33. 33.42408 ÷ 89 =
  34. 34.27976 ÷ 98 =
  35. 35.97886 ÷ 97 =
  36. 36.178293 ÷ 997 =
  37. 37.50293 ÷ 88 =
  38. 38.1301 ÷ 97 =
  39. 39.651459 ÷ 988 =
  40. 40.308476 ÷ 997 =

Answer key

  1. 377 rem 484
  2. 215 rem 16
  3. 152 rem 5
  4. 832 rem 235
  5. 537 rem 6
  6. 449 rem 50
  7. 307 rem 516
  8. 548 rem 38
  9. 781 rem 133
  10. 474 rem 519
  11. 468 rem 136
  12. 879 rem 6
  13. 891 rem 571
  14. 952 rem 248
  15. 416 rem 413
  16. 311 rem 21
  17. 432 rem 40
  18. 964 rem 137
  19. 274 rem 426
  20. 240 rem 840
  21. 591 rem 189
  22. 166 rem 517
  23. 285 rem 7
  24. 939 rem 44
  25. 972 rem 4
  26. 226 rem 218
  27. 622 rem 68
  28. 421 rem 24
  29. 201 rem 49
  30. 32 rem 581
  31. 862 rem 433
  32. 146 rem 0
  33. 476 rem 44
  34. 285 rem 46
  35. 1009 rem 13
  36. 178 rem 827
  37. 571 rem 45
  38. 13 rem 40
  39. 659 rem 367
  40. 309 rem 403

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