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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 598 · 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. 1.33182 ÷ 998 =
  2. 2.15186 ÷ 89 =
  3. 3.6110 ÷ 8 =
  4. 4.542497 ÷ 897 =
  5. 5.188366 ÷ 897 =
  6. 6.871146 ÷ 988 =
  7. 7.95600 ÷ 96 =
  8. 8.121616 ÷ 989 =
  9. 9.52964 ÷ 89 =
  10. 10.32542 ÷ 98 =
  11. 11.23009 ÷ 89 =
  12. 12.52714 ÷ 88 =
  13. 13.28281 ÷ 89 =
  14. 14.990434 ÷ 897 =
  15. 15.13335 ÷ 98 =
  16. 16.43960 ÷ 88 =
  17. 17.49536 ÷ 98 =
  18. 18.78198 ÷ 96 =
  19. 19.932445 ÷ 997 =
  20. 20.56379 ÷ 89 =
  21. 21.310061 ÷ 997 =
  22. 22.85995 ÷ 98 =
  23. 23.8657 ÷ 8 =
  24. 24.229294 ÷ 997 =
  25. 25.19443 ÷ 89 =
  26. 26.9937 ÷ 8 =
  27. 27.374646 ÷ 997 =
  28. 28.543300 ÷ 989 =
  29. 29.39084 ÷ 97 =
  30. 30.76926 ÷ 98 =
  31. 31.641793 ÷ 989 =
  32. 32.24665 ÷ 98 =
  33. 33.892685 ÷ 988 =
  34. 34.7601 ÷ 8 =
  35. 35.773863 ÷ 998 =
  36. 36.76295 ÷ 98 =
  37. 37.1922 ÷ 8 =
  38. 38.412133 ÷ 989 =
  39. 39.78141 ÷ 89 =
  40. 40.9717 ÷ 8 =

Answer key

  1. 33 rem 248
  2. 170 rem 56
  3. 763 rem 6
  4. 604 rem 709
  5. 209 rem 893
  6. 881 rem 718
  7. 995 rem 80
  8. 122 rem 958
  9. 595 rem 9
  10. 332 rem 6
  11. 258 rem 47
  12. 599 rem 2
  13. 317 rem 68
  14. 1104 rem 146
  15. 136 rem 7
  16. 499 rem 48
  17. 505 rem 46
  18. 814 rem 54
  19. 935 rem 250
  20. 633 rem 42
  21. 310 rem 991
  22. 877 rem 49
  23. 1082 rem 1
  24. 229 rem 981
  25. 218 rem 41
  26. 1242 rem 1
  27. 375 rem 771
  28. 549 rem 339
  29. 402 rem 90
  30. 784 rem 94
  31. 648 rem 921
  32. 251 rem 67
  33. 903 rem 521
  34. 950 rem 1
  35. 775 rem 413
  36. 778 rem 51
  37. 240 rem 2
  38. 416 rem 709
  39. 877 rem 88
  40. 1214 rem 5

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