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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 347 · 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. 1.669052 ÷ 998 =
  2. 2.43020 ÷ 96 =
  3. 3.187765 ÷ 998 =
  4. 4.6189 ÷ 88 =
  5. 5.74613 ÷ 97 =
  6. 6.25160 ÷ 89 =
  7. 7.123806 ÷ 998 =
  8. 8.55716 ÷ 97 =
  9. 9.93274 ÷ 88 =
  10. 10.60422 ÷ 89 =
  11. 11.11996 ÷ 88 =
  12. 12.767304 ÷ 897 =
  13. 13.67877 ÷ 89 =
  14. 14.58776 ÷ 98 =
  15. 15.759221 ÷ 988 =
  16. 16.5161 ÷ 8 =
  17. 17.3875 ÷ 8 =
  18. 18.39929 ÷ 96 =
  19. 19.72370 ÷ 97 =
  20. 20.938236 ÷ 997 =
  21. 21.74590 ÷ 88 =
  22. 22.23141 ÷ 89 =
  23. 23.11331 ÷ 89 =
  24. 24.361711 ÷ 989 =
  25. 25.8269 ÷ 8 =
  26. 26.446708 ÷ 989 =
  27. 27.96804 ÷ 96 =
  28. 28.6264 ÷ 96 =
  29. 29.68177 ÷ 89 =
  30. 30.562061 ÷ 897 =
  31. 31.88637 ÷ 88 =
  32. 32.32646 ÷ 89 =
  33. 33.55186 ÷ 98 =
  34. 34.72330 ÷ 88 =
  35. 35.818989 ÷ 988 =
  36. 36.10371 ÷ 96 =
  37. 37.47978 ÷ 97 =
  38. 38.582928 ÷ 989 =
  39. 39.609223 ÷ 997 =
  40. 40.979443 ÷ 988 =

Answer key

  1. 670 rem 392
  2. 448 rem 12
  3. 188 rem 141
  4. 70 rem 29
  5. 769 rem 20
  6. 282 rem 62
  7. 124 rem 54
  8. 574 rem 38
  9. 1059 rem 82
  10. 678 rem 80
  11. 136 rem 28
  12. 855 rem 369
  13. 762 rem 59
  14. 599 rem 74
  15. 768 rem 437
  16. 645 rem 1
  17. 484 rem 3
  18. 415 rem 89
  19. 746 rem 8
  20. 941 rem 59
  21. 847 rem 54
  22. 260 rem 1
  23. 127 rem 28
  24. 365 rem 726
  25. 1033 rem 5
  26. 451 rem 669
  27. 1008 rem 36
  28. 65 rem 24
  29. 766 rem 3
  30. 626 rem 539
  31. 1007 rem 21
  32. 366 rem 72
  33. 563 rem 12
  34. 821 rem 82
  35. 828 rem 925
  36. 108 rem 3
  37. 494 rem 60
  38. 589 rem 407
  39. 611 rem 56
  40. 991 rem 335

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