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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 608 · 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. 1.48116 ÷ 88 =
  2. 2.134974 ÷ 988 =
  3. 3.338851 ÷ 897 =
  4. 4.65202 ÷ 97 =
  5. 5.96248 ÷ 96 =
  6. 6.58106 ÷ 989 =
  7. 7.3503 ÷ 8 =
  8. 8.152600 ÷ 897 =
  9. 9.716946 ÷ 988 =
  10. 10.913211 ÷ 989 =
  11. 11.388255 ÷ 989 =
  12. 12.28444 ÷ 98 =
  13. 13.277398 ÷ 989 =
  14. 14.784133 ÷ 988 =
  15. 15.925984 ÷ 989 =
  16. 16.444625 ÷ 989 =
  17. 17.6582 ÷ 8 =
  18. 18.66395 ÷ 98 =
  19. 19.182397 ÷ 989 =
  20. 20.788799 ÷ 897 =
  21. 21.31657 ÷ 96 =
  22. 22.96963 ÷ 88 =
  23. 23.78474 ÷ 98 =
  24. 24.762108 ÷ 998 =
  25. 25.57502 ÷ 89 =
  26. 26.292344 ÷ 897 =
  27. 27.859071 ÷ 988 =
  28. 28.175480 ÷ 998 =
  29. 29.97586 ÷ 89 =
  30. 30.5047 ÷ 88 =
  31. 31.19266 ÷ 97 =
  32. 32.438945 ÷ 897 =
  33. 33.368715 ÷ 997 =
  34. 34.274458 ÷ 989 =
  35. 35.3226 ÷ 8 =
  36. 36.369940 ÷ 897 =
  37. 37.1435 ÷ 8 =
  38. 38.461969 ÷ 989 =
  39. 39.91910 ÷ 98 =
  40. 40.226344 ÷ 897 =

Answer key

  1. 546 rem 68
  2. 136 rem 606
  3. 377 rem 682
  4. 672 rem 18
  5. 1002 rem 56
  6. 58 rem 744
  7. 437 rem 7
  8. 170 rem 110
  9. 725 rem 646
  10. 923 rem 364
  11. 392 rem 567
  12. 290 rem 24
  13. 280 rem 478
  14. 793 rem 649
  15. 936 rem 280
  16. 449 rem 564
  17. 822 rem 6
  18. 677 rem 49
  19. 184 rem 421
  20. 879 rem 336
  21. 329 rem 73
  22. 1101 rem 75
  23. 800 rem 74
  24. 763 rem 634
  25. 646 rem 8
  26. 325 rem 819
  27. 869 rem 499
  28. 175 rem 830
  29. 1096 rem 42
  30. 57 rem 31
  31. 198 rem 60
  32. 489 rem 312
  33. 369 rem 822
  34. 277 rem 505
  35. 403 rem 2
  36. 412 rem 376
  37. 179 rem 3
  38. 467 rem 106
  39. 937 rem 84
  40. 252 rem 300

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