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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 505 · 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. 1.7869 ÷ 97 =
  2. 2.344915 ÷ 998 =
  3. 3.69524 ÷ 97 =
  4. 4.2748 ÷ 8 =
  5. 5.9535 ÷ 8 =
  6. 6.998831 ÷ 997 =
  7. 7.325078 ÷ 997 =
  8. 8.9621 ÷ 8 =
  9. 9.71595 ÷ 98 =
  10. 10.506234 ÷ 997 =
  11. 11.46349 ÷ 98 =
  12. 12.148032 ÷ 997 =
  13. 13.93768 ÷ 88 =
  14. 14.797359 ÷ 997 =
  15. 15.3259 ÷ 8 =
  16. 16.51269 ÷ 97 =
  17. 17.1620 ÷ 8 =
  18. 18.22448 ÷ 96 =
  19. 19.307623 ÷ 989 =
  20. 20.86495 ÷ 96 =
  21. 21.120928 ÷ 989 =
  22. 22.4885 ÷ 96 =
  23. 23.2300 ÷ 8 =
  24. 24.118056 ÷ 997 =
  25. 25.61013 ÷ 97 =
  26. 26.448122 ÷ 997 =
  27. 27.185070 ÷ 988 =
  28. 28.63963 ÷ 89 =
  29. 29.71344 ÷ 97 =
  30. 30.78712 ÷ 96 =
  31. 31.41964 ÷ 97 =
  32. 32.324710 ÷ 989 =
  33. 33.12327 ÷ 97 =
  34. 34.291271 ÷ 988 =
  35. 35.42980 ÷ 96 =
  36. 36.44650 ÷ 98 =
  37. 37.27673 ÷ 89 =
  38. 38.661271 ÷ 997 =
  39. 39.222706 ÷ 997 =
  40. 40.639668 ÷ 989 =

Answer key

  1. 81 rem 12
  2. 345 rem 605
  3. 716 rem 72
  4. 343 rem 4
  5. 1191 rem 7
  6. 1001 rem 834
  7. 326 rem 56
  8. 1202 rem 5
  9. 730 rem 55
  10. 507 rem 755
  11. 472 rem 93
  12. 148 rem 476
  13. 1065 rem 48
  14. 799 rem 756
  15. 407 rem 3
  16. 528 rem 53
  17. 202 rem 4
  18. 233 rem 80
  19. 311 rem 44
  20. 900 rem 95
  21. 122 rem 270
  22. 50 rem 85
  23. 287 rem 4
  24. 118 rem 410
  25. 629 rem 0
  26. 449 rem 469
  27. 187 rem 314
  28. 718 rem 61
  29. 735 rem 49
  30. 819 rem 88
  31. 432 rem 60
  32. 328 rem 318
  33. 127 rem 8
  34. 294 rem 799
  35. 447 rem 68
  36. 455 rem 60
  37. 310 rem 83
  38. 663 rem 260
  39. 223 rem 375
  40. 646 rem 774

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