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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 419 · 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. 1.630436 ÷ 997 =
  2. 2.67372 ÷ 98 =
  3. 3.77673 ÷ 98 =
  4. 4.931656 ÷ 989 =
  5. 5.4745 ÷ 8 =
  6. 6.334895 ÷ 998 =
  7. 7.43701 ÷ 88 =
  8. 8.20867 ÷ 897 =
  9. 9.85464 ÷ 89 =
  10. 10.31516 ÷ 96 =
  11. 11.9942 ÷ 8 =
  12. 12.13541 ÷ 98 =
  13. 13.41858 ÷ 98 =
  14. 14.402056 ÷ 988 =
  15. 15.89564 ÷ 88 =
  16. 16.3115 ÷ 8 =
  17. 17.986537 ÷ 897 =
  18. 18.14296 ÷ 89 =
  19. 19.957706 ÷ 989 =
  20. 20.45930 ÷ 97 =
  21. 21.38728 ÷ 98 =
  22. 22.610308 ÷ 998 =
  23. 23.163752 ÷ 989 =
  24. 24.27043 ÷ 98 =
  25. 25.54428 ÷ 88 =
  26. 26.45402 ÷ 89 =
  27. 27.603 ÷ 8 =
  28. 28.44100 ÷ 97 =
  29. 29.77535 ÷ 89 =
  30. 30.317304 ÷ 998 =
  31. 31.42150 ÷ 88 =
  32. 32.223637 ÷ 897 =
  33. 33.27722 ÷ 97 =
  34. 34.37448 ÷ 97 =
  35. 35.405940 ÷ 988 =
  36. 36.71017 ÷ 89 =
  37. 37.2599 ÷ 8 =
  38. 38.471587 ÷ 997 =
  39. 39.131547 ÷ 998 =
  40. 40.60888 ÷ 88 =

Answer key

  1. 632 rem 332
  2. 687 rem 46
  3. 792 rem 57
  4. 942 rem 18
  5. 593 rem 1
  6. 335 rem 565
  7. 496 rem 53
  8. 23 rem 236
  9. 960 rem 24
  10. 328 rem 28
  11. 1242 rem 6
  12. 138 rem 17
  13. 427 rem 12
  14. 406 rem 928
  15. 1017 rem 68
  16. 389 rem 3
  17. 1099 rem 734
  18. 160 rem 56
  19. 968 rem 354
  20. 473 rem 49
  21. 395 rem 18
  22. 611 rem 530
  23. 165 rem 567
  24. 275 rem 93
  25. 618 rem 44
  26. 510 rem 12
  27. 75 rem 3
  28. 454 rem 62
  29. 871 rem 16
  30. 317 rem 938
  31. 478 rem 86
  32. 249 rem 284
  33. 285 rem 77
  34. 386 rem 6
  35. 410 rem 860
  36. 797 rem 84
  37. 324 rem 7
  38. 473 rem 6
  39. 131 rem 809
  40. 691 rem 80

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